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Finding the Fourth Proportional to 1,113.53, 1,535.87 and 903.69

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Solution

The fourth proportional to 1,113.53, 1,535.87 and 903.69 is: 1,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.53 : 1,535.87 = 903.69 : x
  2. Step 2: Convert to fraction form
    1,113.53/1,535.87 = 903.69/x
  3. Step 3: Cross multiply
    1,113.53x = 1,535.87 × 903.69
  4. Step 4: Simplify right side
    1,113.53x = 1,387,952.62
  5. Step 5: Solve for x
    x = 1,387,952.62/1,113.53
  6. Step 6: Final answer
    x = 1,246.45

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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.