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Finding the Fourth Proportional to 870.84, 1,304.10 and 596.16

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Solution

The fourth proportional to 870.84, 1,304.10 and 596.16 is: 892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.84 : 1,304.10 = 596.16 : x
  2. Step 2: Convert to fraction form
    870.84/1,304.10 = 596.16/x
  3. Step 3: Cross multiply
    870.84x = 1,304.10 × 596.16
  4. Step 4: Simplify right side
    870.84x = 777,452.26
  5. Step 5: Solve for x
    x = 777,452.26/870.84
  6. Step 6: Final answer
    x = 892.76

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1.5x scale

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.