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Finding the Fourth Proportional to 803.76, 1,109.28 and 509.01

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Solution

The fourth proportional to 803.76, 1,109.28 and 509.01 is: 702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.76 : 1,109.28 = 509.01 : x
  2. Step 2: Convert to fraction form
    803.76/1,109.28 = 509.01/x
  3. Step 3: Cross multiply
    803.76x = 1,109.28 × 509.01
  4. Step 4: Simplify right side
    803.76x = 564,634.61
  5. Step 5: Solve for x
    x = 564,634.61/803.76
  6. Step 6: Final answer
    x = 702.49

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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.