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Finding the Fourth Proportional to 917.53, 1,372.50 and 763.65

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Solution

The fourth proportional to 917.53, 1,372.50 and 763.65 is: 1,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.53 : 1,372.50 = 763.65 : x
  2. Step 2: Convert to fraction form
    917.53/1,372.50 = 763.65/x
  3. Step 3: Cross multiply
    917.53x = 1,372.50 × 763.65
  4. Step 4: Simplify right side
    917.53x = 1,048,109.63
  5. Step 5: Solve for x
    x = 1,048,109.63/917.53
  6. Step 6: Final answer
    x = 1,142.32

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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.