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Finding the Fourth Proportional to 798.04, 1,100.41 and 502.93

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Solution

The fourth proportional to 798.04, 1,100.41 and 502.93 is: 693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.04 : 1,100.41 = 502.93 : x
  2. Step 2: Convert to fraction form
    798.04/1,100.41 = 502.93/x
  3. Step 3: Cross multiply
    798.04x = 1,100.41 × 502.93
  4. Step 4: Simplify right side
    798.04x = 553,429.20
  5. Step 5: Solve for x
    x = 553,429.20/798.04
  6. Step 6: Final answer
    x = 693.49

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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.