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Finding the Fourth Proportional to 929.38, 1,282.54 and 509.75

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Solution

The fourth proportional to 929.38, 1,282.54 and 509.75 is: 703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.38 : 1,282.54 = 509.75 : x
  2. Step 2: Convert to fraction form
    929.38/1,282.54 = 509.75/x
  3. Step 3: Cross multiply
    929.38x = 1,282.54 × 509.75
  4. Step 4: Simplify right side
    929.38x = 653,774.77
  5. Step 5: Solve for x
    x = 653,774.77/929.38
  6. Step 6: Final answer
    x = 703.45

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Double scale
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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.