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Finding the Fourth Proportional to 929.10, 1,282.20 and 530.77

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Solution

The fourth proportional to 929.10, 1,282.20 and 530.77 is: 732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.10 : 1,282.20 = 530.77 : x
  2. Step 2: Convert to fraction form
    929.10/1,282.20 = 530.77/x
  3. Step 3: Cross multiply
    929.10x = 1,282.20 × 530.77
  4. Step 4: Simplify right side
    929.10x = 680,553.29
  5. Step 5: Solve for x
    x = 680,553.29/929.10
  6. Step 6: Final answer
    x = 732.49

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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.