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Finding the Fourth Proportional to 749.39, 1,030.72 and 601.70

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Solution

The fourth proportional to 749.39, 1,030.72 and 601.70 is: 827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.39 : 1,030.72 = 601.70 : x
  2. Step 2: Convert to fraction form
    749.39/1,030.72 = 601.70/x
  3. Step 3: Cross multiply
    749.39x = 1,030.72 × 601.70
  4. Step 4: Simplify right side
    749.39x = 620,184.22
  5. Step 5: Solve for x
    x = 620,184.22/749.39
  6. Step 6: Final answer
    x = 827.59

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1.5x scale

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.