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Finding the Fourth Proportional to 929.12, 1,280.72 and 666.68

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Solution

The fourth proportional to 929.12, 1,280.72 and 666.68 is: 918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.12 : 1,280.72 = 666.68 : x
  2. Step 2: Convert to fraction form
    929.12/1,280.72 = 666.68/x
  3. Step 3: Cross multiply
    929.12x = 1,280.72 × 666.68
  4. Step 4: Simplify right side
    929.12x = 853,830.41
  5. Step 5: Solve for x
    x = 853,830.41/929.12
  6. Step 6: Final answer
    x = 918.97

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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.