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Finding the Fourth Proportional to 749.34, 1,117.41 and 697.40

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Solution

The fourth proportional to 749.34, 1,117.41 and 697.40 is: 1,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.34 : 1,117.41 = 697.40 : x
  2. Step 2: Convert to fraction form
    749.34/1,117.41 = 697.40/x
  3. Step 3: Cross multiply
    749.34x = 1,117.41 × 697.40
  4. Step 4: Simplify right side
    749.34x = 779,281.73
  5. Step 5: Solve for x
    x = 779,281.73/749.34
  6. Step 6: Final answer
    x = 1,039.96

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1.5x scale

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.