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Finding the Fourth Proportional to 521.64, 783.68 and 500.99

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Solution

The fourth proportional to 521.64, 783.68 and 500.99 is: 752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.64 : 783.68 = 500.99 : x
  2. Step 2: Convert to fraction form
    521.64/783.68 = 500.99/x
  3. Step 3: Cross multiply
    521.64x = 783.68 × 500.99
  4. Step 4: Simplify right side
    521.64x = 392,609.42
  5. Step 5: Solve for x
    x = 392,609.42/521.64
  6. Step 6: Final answer
    x = 752.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.