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Finding the Fourth Proportional to 974.66, 1,460.90 and 585.18

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Solution

The fourth proportional to 974.66, 1,460.90 and 585.18 is: 877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.66 : 1,460.90 = 585.18 : x
  2. Step 2: Convert to fraction form
    974.66/1,460.90 = 585.18/x
  3. Step 3: Cross multiply
    974.66x = 1,460.90 × 585.18
  4. Step 4: Simplify right side
    974.66x = 854,889.46
  5. Step 5: Solve for x
    x = 854,889.46/974.66
  6. Step 6: Final answer
    x = 877.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.