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Finding the Fourth Proportional to 870.22, 1,200.78 and 497.15

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Solution

The fourth proportional to 870.22, 1,200.78 and 497.15 is: 686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.22 : 1,200.78 = 497.15 : x
  2. Step 2: Convert to fraction form
    870.22/1,200.78 = 497.15/x
  3. Step 3: Cross multiply
    870.22x = 1,200.78 × 497.15
  4. Step 4: Simplify right side
    870.22x = 596,967.78
  5. Step 5: Solve for x
    x = 596,967.78/870.22
  6. Step 6: Final answer
    x = 686.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.