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Finding the Fourth Proportional to 711.16, 981.24 and 416.47

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Solution

The fourth proportional to 711.16, 981.24 and 416.47 is: 574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.16 : 981.24 = 416.47 : x
  2. Step 2: Convert to fraction form
    711.16/981.24 = 416.47/x
  3. Step 3: Cross multiply
    711.16x = 981.24 × 416.47
  4. Step 4: Simplify right side
    711.16x = 408,657.02
  5. Step 5: Solve for x
    x = 408,657.02/711.16
  6. Step 6: Final answer
    x = 574.63

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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.