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Finding the Fourth Proportional to 819.84, 1,130.34 and 524.61

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Solution

The fourth proportional to 819.84, 1,130.34 and 524.61 is: 723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.84 : 1,130.34 = 524.61 : x
  2. Step 2: Convert to fraction form
    819.84/1,130.34 = 524.61/x
  3. Step 3: Cross multiply
    819.84x = 1,130.34 × 524.61
  4. Step 4: Simplify right side
    819.84x = 592,987.67
  5. Step 5: Solve for x
    x = 592,987.67/819.84
  6. Step 6: Final answer
    x = 723.30

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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.