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Finding the Fourth Proportional to 702.14, 1,048.78 and 682.70

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Solution

The fourth proportional to 702.14, 1,048.78 and 682.70 is: 1,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.14 : 1,048.78 = 682.70 : x
  2. Step 2: Convert to fraction form
    702.14/1,048.78 = 682.70/x
  3. Step 3: Cross multiply
    702.14x = 1,048.78 × 682.70
  4. Step 4: Simplify right side
    702.14x = 716,002.11
  5. Step 5: Solve for x
    x = 716,002.11/702.14
  6. Step 6: Final answer
    x = 1,019.74

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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.