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Finding the Fourth Proportional to 813.84, 1,214.84 and 753.68

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Solution

The fourth proportional to 813.84, 1,214.84 and 753.68 is: 1,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.84 : 1,214.84 = 753.68 : x
  2. Step 2: Convert to fraction form
    813.84/1,214.84 = 753.68/x
  3. Step 3: Cross multiply
    813.84x = 1,214.84 × 753.68
  4. Step 4: Simplify right side
    813.84x = 915,600.61
  5. Step 5: Solve for x
    x = 915,600.61/813.84
  6. Step 6: Final answer
    x = 1,125.04

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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.