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Finding the Fourth Proportional to 798.49, 1,102.08 and 503.56

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Solution

The fourth proportional to 798.49, 1,102.08 and 503.56 is: 695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.49 : 1,102.08 = 503.56 : x
  2. Step 2: Convert to fraction form
    798.49/1,102.08 = 503.56/x
  3. Step 3: Cross multiply
    798.49x = 1,102.08 × 503.56
  4. Step 4: Simplify right side
    798.49x = 554,963.40
  5. Step 5: Solve for x
    x = 554,963.40/798.49
  6. Step 6: Final answer
    x = 695.02

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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.