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Finding the Fourth Proportional to 870.34, 1,306.05 and 357.34

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Solution

The fourth proportional to 870.34, 1,306.05 and 357.34 is: 536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.34 : 1,306.05 = 357.34 : x
  2. Step 2: Convert to fraction form
    870.34/1,306.05 = 357.34/x
  3. Step 3: Cross multiply
    870.34x = 1,306.05 × 357.34
  4. Step 4: Simplify right side
    870.34x = 466,703.91
  5. Step 5: Solve for x
    x = 466,703.91/870.34
  6. Step 6: Final answer
    x = 536.23

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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.