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Finding the Fourth Proportional to 625.65, 942.18 and 589.20

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Solution

The fourth proportional to 625.65, 942.18 and 589.20 is: 887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.65 : 942.18 = 589.20 : x
  2. Step 2: Convert to fraction form
    625.65/942.18 = 589.20/x
  3. Step 3: Cross multiply
    625.65x = 942.18 × 589.20
  4. Step 4: Simplify right side
    625.65x = 555,132.46
  5. Step 5: Solve for x
    x = 555,132.46/625.65
  6. Step 6: Final answer
    x = 887.29

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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.