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Finding the Fourth Proportional to 1,359.12, 1,875.08 and 917.52

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Solution

The fourth proportional to 1,359.12, 1,875.08 and 917.52 is: 1,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.12 : 1,875.08 = 917.52 : x
  2. Step 2: Convert to fraction form
    1,359.12/1,875.08 = 917.52/x
  3. Step 3: Cross multiply
    1,359.12x = 1,875.08 × 917.52
  4. Step 4: Simplify right side
    1,359.12x = 1,720,423.40
  5. Step 5: Solve for x
    x = 1,720,423.40/1,359.12
  6. Step 6: Final answer
    x = 1,265.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.