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Finding the Fourth Proportional to 972.60, 1,458.89 and 561.48

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Solution

The fourth proportional to 972.60, 1,458.89 and 561.48 is: 842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.60 : 1,458.89 = 561.48 : x
  2. Step 2: Convert to fraction form
    972.60/1,458.89 = 561.48/x
  3. Step 3: Cross multiply
    972.60x = 1,458.89 × 561.48
  4. Step 4: Simplify right side
    972.60x = 819,134.75
  5. Step 5: Solve for x
    x = 819,134.75/972.60
  6. Step 6: Final answer
    x = 842.21

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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.