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Finding the Fourth Proportional to 531.95, 794.39 and 454.10

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Solution

The fourth proportional to 531.95, 794.39 and 454.10 is: 678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.95 : 794.39 = 454.10 : x
  2. Step 2: Convert to fraction form
    531.95/794.39 = 454.10/x
  3. Step 3: Cross multiply
    531.95x = 794.39 × 454.10
  4. Step 4: Simplify right side
    531.95x = 360,726.26
  5. Step 5: Solve for x
    x = 360,726.26/531.95
  6. Step 6: Final answer
    x = 678.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.