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Finding the Fourth Proportional to 917.18, 1,375.78 and 430.58

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Solution

The fourth proportional to 917.18, 1,375.78 and 430.58 is: 645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.18 : 1,375.78 = 430.58 : x
  2. Step 2: Convert to fraction form
    917.18/1,375.78 = 430.58/x
  3. Step 3: Cross multiply
    917.18x = 1,375.78 × 430.58
  4. Step 4: Simplify right side
    917.18x = 592,383.35
  5. Step 5: Solve for x
    x = 592,383.35/917.18
  6. Step 6: Final answer
    x = 645.87

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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.