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Finding the Fourth Proportional to 942.87, 1,407.53 and 819.88

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Solution

The fourth proportional to 942.87, 1,407.53 and 819.88 is: 1,223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.87 : 1,407.53 = 819.88 : x
  2. Step 2: Convert to fraction form
    942.87/1,407.53 = 819.88/x
  3. Step 3: Cross multiply
    942.87x = 1,407.53 × 819.88
  4. Step 4: Simplify right side
    942.87x = 1,154,005.70
  5. Step 5: Solve for x
    x = 1,154,005.70/942.87
  6. Step 6: Final answer
    x = 1,223.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.