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Finding the Fourth Proportional to 562.12, 837.69 and 556.65

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Solution

The fourth proportional to 562.12, 837.69 and 556.65 is: 829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.12 : 837.69 = 556.65 : x
  2. Step 2: Convert to fraction form
    562.12/837.69 = 556.65/x
  3. Step 3: Cross multiply
    562.12x = 837.69 × 556.65
  4. Step 4: Simplify right side
    562.12x = 466,300.14
  5. Step 5: Solve for x
    x = 466,300.14/562.12
  6. Step 6: Final answer
    x = 829.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.