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Finding the Fourth Proportional to 510.92, 704.58 and 456.20

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Solution

The fourth proportional to 510.92, 704.58 and 456.20 is: 629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.92 : 704.58 = 456.20 : x
  2. Step 2: Convert to fraction form
    510.92/704.58 = 456.20/x
  3. Step 3: Cross multiply
    510.92x = 704.58 × 456.20
  4. Step 4: Simplify right side
    510.92x = 321,429.40
  5. Step 5: Solve for x
    x = 321,429.40/510.92
  6. Step 6: Final answer
    x = 629.12

Related Problems

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Half scale
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Double scale
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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.