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Finding the Fourth Proportional to 1,009.53, 1,513.89 and 888.84

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Solution

The fourth proportional to 1,009.53, 1,513.89 and 888.84 is: 1,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.53 : 1,513.89 = 888.84 : x
  2. Step 2: Convert to fraction form
    1,009.53/1,513.89 = 888.84/x
  3. Step 3: Cross multiply
    1,009.53x = 1,513.89 × 888.84
  4. Step 4: Simplify right side
    1,009.53x = 1,345,605.99
  5. Step 5: Solve for x
    x = 1,345,605.99/1,009.53
  6. Step 6: Final answer
    x = 1,332.90

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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.