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Finding the Fourth Proportional to 666.59, 918.96 and 417.74

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Solution

The fourth proportional to 666.59, 918.96 and 417.74 is: 575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.59 : 918.96 = 417.74 : x
  2. Step 2: Convert to fraction form
    666.59/918.96 = 417.74/x
  3. Step 3: Cross multiply
    666.59x = 918.96 × 417.74
  4. Step 4: Simplify right side
    666.59x = 383,886.35
  5. Step 5: Solve for x
    x = 383,886.35/666.59
  6. Step 6: Final answer
    x = 575.90

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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.