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Finding the Fourth Proportional to 798.41, 1,101.80 and 466.76

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Solution

The fourth proportional to 798.41, 1,101.80 and 466.76 is: 644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.41 : 1,101.80 = 466.76 : x
  2. Step 2: Convert to fraction form
    798.41/1,101.80 = 466.76/x
  3. Step 3: Cross multiply
    798.41x = 1,101.80 × 466.76
  4. Step 4: Simplify right side
    798.41x = 514,280.09
  5. Step 5: Solve for x
    x = 514,280.09/798.41
  6. Step 6: Final answer
    x = 644.13

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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.