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Finding the Fourth Proportional to 510.20, 707.71 and 473.72

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Solution

The fourth proportional to 510.20, 707.71 and 473.72 is: 657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.20 : 707.71 = 473.72 : x
  2. Step 2: Convert to fraction form
    510.20/707.71 = 473.72/x
  3. Step 3: Cross multiply
    510.20x = 707.71 × 473.72
  4. Step 4: Simplify right side
    510.20x = 335,254.01
  5. Step 5: Solve for x
    x = 335,254.01/510.20
  6. Step 6: Final answer
    x = 657.10

Related Problems

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Half scale
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Double scale
Find fourth proportional to 511.20, 709.09 and 474.72
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.