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Finding the Fourth Proportional to 541.57, 746.95 and 497.45

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Solution

The fourth proportional to 541.57, 746.95 and 497.45 is: 686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.57 : 746.95 = 497.45 : x
  2. Step 2: Convert to fraction form
    541.57/746.95 = 497.45/x
  3. Step 3: Cross multiply
    541.57x = 746.95 × 497.45
  4. Step 4: Simplify right side
    541.57x = 371,570.28
  5. Step 5: Solve for x
    x = 371,570.28/541.57
  6. Step 6: Final answer
    x = 686.10

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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.