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Finding the Fourth Proportional to 1,304.62, 1,800.38 and 715.16

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Solution

The fourth proportional to 1,304.62, 1,800.38 and 715.16 is: 986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.62 : 1,800.38 = 715.16 : x
  2. Step 2: Convert to fraction form
    1,304.62/1,800.38 = 715.16/x
  3. Step 3: Cross multiply
    1,304.62x = 1,800.38 × 715.16
  4. Step 4: Simplify right side
    1,304.62x = 1,287,559.76
  5. Step 5: Solve for x
    x = 1,287,559.76/1,304.62
  6. Step 6: Final answer
    x = 986.92

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1.5x scale

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.