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Finding the Fourth Proportional to 612.92, 917.66 and 477.55

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Solution

The fourth proportional to 612.92, 917.66 and 477.55 is: 714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.92 : 917.66 = 477.55 : x
  2. Step 2: Convert to fraction form
    612.92/917.66 = 477.55/x
  3. Step 3: Cross multiply
    612.92x = 917.66 × 477.55
  4. Step 4: Simplify right side
    612.92x = 438,230.87
  5. Step 5: Solve for x
    x = 438,230.87/612.92
  6. Step 6: Final answer
    x = 714.99

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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.