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Finding the Fourth Proportional to 509.19, 701.13 and 462.28

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Solution

The fourth proportional to 509.19, 701.13 and 462.28 is: 636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.19 : 701.13 = 462.28 : x
  2. Step 2: Convert to fraction form
    509.19/701.13 = 462.28/x
  3. Step 3: Cross multiply
    509.19x = 701.13 × 462.28
  4. Step 4: Simplify right side
    509.19x = 324,118.38
  5. Step 5: Solve for x
    x = 324,118.38/509.19
  6. Step 6: Final answer
    x = 636.54

Related Problems

Find fourth proportional to 254.60, 350.57 and 231.14
Half scale
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Double scale
Find fourth proportional to 510.19, 702.51 and 463.28
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.