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Finding the Fourth Proportional to 647.13, 974.16 and 557.82

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Solution

The fourth proportional to 647.13, 974.16 and 557.82 is: 839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.13 : 974.16 = 557.82 : x
  2. Step 2: Convert to fraction form
    647.13/974.16 = 557.82/x
  3. Step 3: Cross multiply
    647.13x = 974.16 × 557.82
  4. Step 4: Simplify right side
    647.13x = 543,405.93
  5. Step 5: Solve for x
    x = 543,405.93/647.13
  6. Step 6: Final answer
    x = 839.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.