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Finding the Fourth Proportional to 970.79, 1,338.93 and 749.05

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Solution

The fourth proportional to 970.79, 1,338.93 and 749.05 is: 1,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.79 : 1,338.93 = 749.05 : x
  2. Step 2: Convert to fraction form
    970.79/1,338.93 = 749.05/x
  3. Step 3: Cross multiply
    970.79x = 1,338.93 × 749.05
  4. Step 4: Simplify right side
    970.79x = 1,002,922.17
  5. Step 5: Solve for x
    x = 1,002,922.17/970.79
  6. Step 6: Final answer
    x = 1,033.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.