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Finding the Fourth Proportional to 541.04, 812.40 and 460.40

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Solution

The fourth proportional to 541.04, 812.40 and 460.40 is: 691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.04 : 812.40 = 460.40 : x
  2. Step 2: Convert to fraction form
    541.04/812.40 = 460.40/x
  3. Step 3: Cross multiply
    541.04x = 812.40 × 460.40
  4. Step 4: Simplify right side
    541.04x = 374,028.96
  5. Step 5: Solve for x
    x = 374,028.96/541.04
  6. Step 6: Final answer
    x = 691.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.