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Finding the Fourth Proportional to 541.65, 747.93 and 342.60

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Solution

The fourth proportional to 541.65, 747.93 and 342.60 is: 473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.65 : 747.93 = 342.60 : x
  2. Step 2: Convert to fraction form
    541.65/747.93 = 342.60/x
  3. Step 3: Cross multiply
    541.65x = 747.93 × 342.60
  4. Step 4: Simplify right side
    541.65x = 256,240.82
  5. Step 5: Solve for x
    x = 256,240.82/541.65
  6. Step 6: Final answer
    x = 473.07

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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.