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Finding the Fourth Proportional to 668.94, 924.10 and 472.10

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Solution

The fourth proportional to 668.94, 924.10 and 472.10 is: 652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.94 : 924.10 = 472.10 : x
  2. Step 2: Convert to fraction form
    668.94/924.10 = 472.10/x
  3. Step 3: Cross multiply
    668.94x = 924.10 × 472.10
  4. Step 4: Simplify right side
    668.94x = 436,267.61
  5. Step 5: Solve for x
    x = 436,267.61/668.94
  6. Step 6: Final answer
    x = 652.18

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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.