Home / 1,294.29-1,941.60-472.95

Finding the Fourth Proportional to 1,294.29, 1,941.60 and 472.95

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Solution

The fourth proportional to 1,294.29, 1,941.60 and 472.95 is: 709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.29 : 1,941.60 = 472.95 : x
  2. Step 2: Convert to fraction form
    1,294.29/1,941.60 = 472.95/x
  3. Step 3: Cross multiply
    1,294.29x = 1,941.60 × 472.95
  4. Step 4: Simplify right side
    1,294.29x = 918,279.72
  5. Step 5: Solve for x
    x = 918,279.72/1,294.29
  6. Step 6: Final answer
    x = 709.49

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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.