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Finding the Fourth Proportional to 870.74, 1,306.35 and 383.90

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Solution

The fourth proportional to 870.74, 1,306.35 and 383.90 is: 575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.74 : 1,306.35 = 383.90 : x
  2. Step 2: Convert to fraction form
    870.74/1,306.35 = 383.90/x
  3. Step 3: Cross multiply
    870.74x = 1,306.35 × 383.90
  4. Step 4: Simplify right side
    870.74x = 501,507.77
  5. Step 5: Solve for x
    x = 501,507.77/870.74
  6. Step 6: Final answer
    x = 575.96

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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.