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Finding the Fourth Proportional to 621.91, 858.25 and 342.16

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Solution

The fourth proportional to 621.91, 858.25 and 342.16 is: 472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.91 : 858.25 = 342.16 : x
  2. Step 2: Convert to fraction form
    621.91/858.25 = 342.16/x
  3. Step 3: Cross multiply
    621.91x = 858.25 × 342.16
  4. Step 4: Simplify right side
    621.91x = 293,655.82
  5. Step 5: Solve for x
    x = 293,655.82/621.91
  6. Step 6: Final answer
    x = 472.19

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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.