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Finding the Fourth Proportional to 948.29, 1,411.85 and 934.63

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Solution

The fourth proportional to 948.29, 1,411.85 and 934.63 is: 1,391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.29 : 1,411.85 = 934.63 : x
  2. Step 2: Convert to fraction form
    948.29/1,411.85 = 934.63/x
  3. Step 3: Cross multiply
    948.29x = 1,411.85 × 934.63
  4. Step 4: Simplify right side
    948.29x = 1,319,556.17
  5. Step 5: Solve for x
    x = 1,319,556.17/948.29
  6. Step 6: Final answer
    x = 1,391.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.