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Finding the Fourth Proportional to 898.76, 1,347.65 and 552.24

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Solution

The fourth proportional to 898.76, 1,347.65 and 552.24 is: 828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.76 : 1,347.65 = 552.24 : x
  2. Step 2: Convert to fraction form
    898.76/1,347.65 = 552.24/x
  3. Step 3: Cross multiply
    898.76x = 1,347.65 × 552.24
  4. Step 4: Simplify right side
    898.76x = 744,223.47
  5. Step 5: Solve for x
    x = 744,223.47/898.76
  6. Step 6: Final answer
    x = 828.06

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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.