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Finding the Fourth Proportional to 894.98, 1,342.47 and 870.68

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Solution

The fourth proportional to 894.98, 1,342.47 and 870.68 is: 1,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.98 : 1,342.47 = 870.68 : x
  2. Step 2: Convert to fraction form
    894.98/1,342.47 = 870.68/x
  3. Step 3: Cross multiply
    894.98x = 1,342.47 × 870.68
  4. Step 4: Simplify right side
    894.98x = 1,168,861.78
  5. Step 5: Solve for x
    x = 1,168,861.78/894.98
  6. Step 6: Final answer
    x = 1,306.02

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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.