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Finding the Fourth Proportional to 546.76, 755.10 and 460.12

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Solution

The fourth proportional to 546.76, 755.10 and 460.12 is: 635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.76 : 755.10 = 460.12 : x
  2. Step 2: Convert to fraction form
    546.76/755.10 = 460.12/x
  3. Step 3: Cross multiply
    546.76x = 755.10 × 460.12
  4. Step 4: Simplify right side
    546.76x = 347,436.61
  5. Step 5: Solve for x
    x = 347,436.61/546.76
  6. Step 6: Final answer
    x = 635.45

Related Problems

Find fourth proportional to 273.38, 377.55 and 230.06
Half scale
Find fourth proportional to 1,093.52, 1,510.20 and 920.24
Double scale
Find fourth proportional to 547.76, 756.48 and 461.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.