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Finding the Fourth Proportional to 917.57, 1,375.36 and 500.67

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Solution

The fourth proportional to 917.57, 1,375.36 and 500.67 is: 750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.57 : 1,375.36 = 500.67 : x
  2. Step 2: Convert to fraction form
    917.57/1,375.36 = 500.67/x
  3. Step 3: Cross multiply
    917.57x = 1,375.36 × 500.67
  4. Step 4: Simplify right side
    917.57x = 688,601.49
  5. Step 5: Solve for x
    x = 688,601.49/917.57
  6. Step 6: Final answer
    x = 750.46

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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.