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Finding the Fourth Proportional to 1,304.62, 1,800.40 and 715.20

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Solution

The fourth proportional to 1,304.62, 1,800.40 and 715.20 is: 986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.62 : 1,800.40 = 715.20 : x
  2. Step 2: Convert to fraction form
    1,304.62/1,800.40 = 715.20/x
  3. Step 3: Cross multiply
    1,304.62x = 1,800.40 × 715.20
  4. Step 4: Simplify right side
    1,304.62x = 1,287,646.08
  5. Step 5: Solve for x
    x = 1,287,646.08/1,304.62
  6. Step 6: Final answer
    x = 986.99

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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.