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Finding the Fourth Proportional to 880.79, 1,319.78 and 706.55

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Solution

The fourth proportional to 880.79, 1,319.78 and 706.55 is: 1,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.79 : 1,319.78 = 706.55 : x
  2. Step 2: Convert to fraction form
    880.79/1,319.78 = 706.55/x
  3. Step 3: Cross multiply
    880.79x = 1,319.78 × 706.55
  4. Step 4: Simplify right side
    880.79x = 932,485.73
  5. Step 5: Solve for x
    x = 932,485.73/880.79
  6. Step 6: Final answer
    x = 1,058.70

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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.