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Finding the Fourth Proportional to 917.76, 1,377.01 and 506.86

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Solution

The fourth proportional to 917.76, 1,377.01 and 506.86 is: 760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.76 : 1,377.01 = 506.86 : x
  2. Step 2: Convert to fraction form
    917.76/1,377.01 = 506.86/x
  3. Step 3: Cross multiply
    917.76x = 1,377.01 × 506.86
  4. Step 4: Simplify right side
    917.76x = 697,951.29
  5. Step 5: Solve for x
    x = 697,951.29/917.76
  6. Step 6: Final answer
    x = 760.49

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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.