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Finding the Fourth Proportional to 541.23, 806.70 and 510.48

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Solution

The fourth proportional to 541.23, 806.70 and 510.48 is: 760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.23 : 806.70 = 510.48 : x
  2. Step 2: Convert to fraction form
    541.23/806.70 = 510.48/x
  3. Step 3: Cross multiply
    541.23x = 806.70 × 510.48
  4. Step 4: Simplify right side
    541.23x = 411,804.22
  5. Step 5: Solve for x
    x = 411,804.22/541.23
  6. Step 6: Final answer
    x = 760.87

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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.