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Finding the Fourth Proportional to 917.97, 1,377.17 and 507.01

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Solution

The fourth proportional to 917.97, 1,377.17 and 507.01 is: 760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.97 : 1,377.17 = 507.01 : x
  2. Step 2: Convert to fraction form
    917.97/1,377.17 = 507.01/x
  3. Step 3: Cross multiply
    917.97x = 1,377.17 × 507.01
  4. Step 4: Simplify right side
    917.97x = 698,238.96
  5. Step 5: Solve for x
    x = 698,238.96/917.97
  6. Step 6: Final answer
    x = 760.63

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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.