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Finding the Fourth Proportional to 948.46, 1,420.78 and 753.79

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Solution

The fourth proportional to 948.46, 1,420.78 and 753.79 is: 1,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.46 : 1,420.78 = 753.79 : x
  2. Step 2: Convert to fraction form
    948.46/1,420.78 = 753.79/x
  3. Step 3: Cross multiply
    948.46x = 1,420.78 × 753.79
  4. Step 4: Simplify right side
    948.46x = 1,070,969.76
  5. Step 5: Solve for x
    x = 1,070,969.76/948.46
  6. Step 6: Final answer
    x = 1,129.17

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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.