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Finding the Fourth Proportional to 621.16, 855.76 and 434.36

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Solution

The fourth proportional to 621.16, 855.76 and 434.36 is: 598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.16 : 855.76 = 434.36 : x
  2. Step 2: Convert to fraction form
    621.16/855.76 = 434.36/x
  3. Step 3: Cross multiply
    621.16x = 855.76 × 434.36
  4. Step 4: Simplify right side
    621.16x = 371,707.91
  5. Step 5: Solve for x
    x = 371,707.91/621.16
  6. Step 6: Final answer
    x = 598.41

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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.