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Finding the Fourth Proportional to 948.79, 1,423.19 and 592.71

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Solution

The fourth proportional to 948.79, 1,423.19 and 592.71 is: 889.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.79 : 1,423.19 = 592.71 : x
  2. Step 2: Convert to fraction form
    948.79/1,423.19 = 592.71/x
  3. Step 3: Cross multiply
    948.79x = 1,423.19 × 592.71
  4. Step 4: Simplify right side
    948.79x = 843,528.87
  5. Step 5: Solve for x
    x = 843,528.87/948.79
  6. Step 6: Final answer
    x = 889.06

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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.