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Finding the Fourth Proportional to 870.86, 1,201.89 and 521.54

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Solution

The fourth proportional to 870.86, 1,201.89 and 521.54 is: 719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.86 : 1,201.89 = 521.54 : x
  2. Step 2: Convert to fraction form
    870.86/1,201.89 = 521.54/x
  3. Step 3: Cross multiply
    870.86x = 1,201.89 × 521.54
  4. Step 4: Simplify right side
    870.86x = 626,833.71
  5. Step 5: Solve for x
    x = 626,833.71/870.86
  6. Step 6: Final answer
    x = 719.79

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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.