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Finding the Fourth Proportional to 560.12, 834.71 and 554.65

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Solution

The fourth proportional to 560.12, 834.71 and 554.65 is: 826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.12 : 834.71 = 554.65 : x
  2. Step 2: Convert to fraction form
    560.12/834.71 = 554.65/x
  3. Step 3: Cross multiply
    560.12x = 834.71 × 554.65
  4. Step 4: Simplify right side
    560.12x = 462,967.04
  5. Step 5: Solve for x
    x = 462,967.04/560.12
  6. Step 6: Final answer
    x = 826.56

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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.