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Finding the Fourth Proportional to 924.94, 1,387.48 and 666.14

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Solution

The fourth proportional to 924.94, 1,387.48 and 666.14 is: 999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.94 : 1,387.48 = 666.14 : x
  2. Step 2: Convert to fraction form
    924.94/1,387.48 = 666.14/x
  3. Step 3: Cross multiply
    924.94x = 1,387.48 × 666.14
  4. Step 4: Simplify right side
    924.94x = 924,255.93
  5. Step 5: Solve for x
    x = 924,255.93/924.94
  6. Step 6: Final answer
    x = 999.26

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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.