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Finding the Fourth Proportional to 948.42, 1,424.18 and 585.52

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Solution

The fourth proportional to 948.42, 1,424.18 and 585.52 is: 879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.42 : 1,424.18 = 585.52 : x
  2. Step 2: Convert to fraction form
    948.42/1,424.18 = 585.52/x
  3. Step 3: Cross multiply
    948.42x = 1,424.18 × 585.52
  4. Step 4: Simplify right side
    948.42x = 833,885.87
  5. Step 5: Solve for x
    x = 833,885.87/948.42
  6. Step 6: Final answer
    x = 879.24

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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.