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Finding the Fourth Proportional to 580.65, 875.72 and 562.16

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Solution

The fourth proportional to 580.65, 875.72 and 562.16 is: 847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.65 : 875.72 = 562.16 : x
  2. Step 2: Convert to fraction form
    580.65/875.72 = 562.16/x
  3. Step 3: Cross multiply
    580.65x = 875.72 × 562.16
  4. Step 4: Simplify right side
    580.65x = 492,287.57
  5. Step 5: Solve for x
    x = 492,287.57/580.65
  6. Step 6: Final answer
    x = 847.82

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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.