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Finding the Fourth Proportional to 652.12, 981.69 and 562.80

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Solution

The fourth proportional to 652.12, 981.69 and 562.80 is: 847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.12 : 981.69 = 562.80 : x
  2. Step 2: Convert to fraction form
    652.12/981.69 = 562.80/x
  3. Step 3: Cross multiply
    652.12x = 981.69 × 562.80
  4. Step 4: Simplify right side
    652.12x = 552,495.13
  5. Step 5: Solve for x
    x = 552,495.13/652.12
  6. Step 6: Final answer
    x = 847.23

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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.