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Finding the Fourth Proportional to 541.46, 746.10 and 501.60

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Solution

The fourth proportional to 541.46, 746.10 and 501.60 is: 691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.46 : 746.10 = 501.60 : x
  2. Step 2: Convert to fraction form
    541.46/746.10 = 501.60/x
  3. Step 3: Cross multiply
    541.46x = 746.10 × 501.60
  4. Step 4: Simplify right side
    541.46x = 374,243.76
  5. Step 5: Solve for x
    x = 374,243.76/541.46
  6. Step 6: Final answer
    x = 691.18

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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.