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Finding the Fourth Proportional to 1,047.02, 1,569.56 and 498.64

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Solution

The fourth proportional to 1,047.02, 1,569.56 and 498.64 is: 747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.02 : 1,569.56 = 498.64 : x
  2. Step 2: Convert to fraction form
    1,047.02/1,569.56 = 498.64/x
  3. Step 3: Cross multiply
    1,047.02x = 1,569.56 × 498.64
  4. Step 4: Simplify right side
    1,047.02x = 782,645.40
  5. Step 5: Solve for x
    x = 782,645.40/1,047.02
  6. Step 6: Final answer
    x = 747.50

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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.