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Finding the Fourth Proportional to 666.30, 917.37 and 587.55

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Solution

The fourth proportional to 666.30, 917.37 and 587.55 is: 808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.30 : 917.37 = 587.55 : x
  2. Step 2: Convert to fraction form
    666.30/917.37 = 587.55/x
  3. Step 3: Cross multiply
    666.30x = 917.37 × 587.55
  4. Step 4: Simplify right side
    666.30x = 539,000.74
  5. Step 5: Solve for x
    x = 539,000.74/666.30
  6. Step 6: Final answer
    x = 808.95

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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.