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Finding the Fourth Proportional to 507.28, 700.14 and 320.71

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Solution

The fourth proportional to 507.28, 700.14 and 320.71 is: 442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.28 : 700.14 = 320.71 : x
  2. Step 2: Convert to fraction form
    507.28/700.14 = 320.71/x
  3. Step 3: Cross multiply
    507.28x = 700.14 × 320.71
  4. Step 4: Simplify right side
    507.28x = 224,541.90
  5. Step 5: Solve for x
    x = 224,541.90/507.28
  6. Step 6: Final answer
    x = 442.64

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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.