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Finding the Fourth Proportional to 510.76, 704.46 and 336.34

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Solution

The fourth proportional to 510.76, 704.46 and 336.34 is: 463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.76 : 704.46 = 336.34 : x
  2. Step 2: Convert to fraction form
    510.76/704.46 = 336.34/x
  3. Step 3: Cross multiply
    510.76x = 704.46 × 336.34
  4. Step 4: Simplify right side
    510.76x = 236,938.08
  5. Step 5: Solve for x
    x = 236,938.08/510.76
  6. Step 6: Final answer
    x = 463.89

Related Problems

Find fourth proportional to 255.38, 352.23 and 168.17
Half scale
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Double scale
Find fourth proportional to 511.76, 705.84 and 337.34
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.