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Finding the Fourth Proportional to 702.78, 1,052.82 and 393.69

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Solution

The fourth proportional to 702.78, 1,052.82 and 393.69 is: 589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.78 : 1,052.82 = 393.69 : x
  2. Step 2: Convert to fraction form
    702.78/1,052.82 = 393.69/x
  3. Step 3: Cross multiply
    702.78x = 1,052.82 × 393.69
  4. Step 4: Simplify right side
    702.78x = 414,482.74
  5. Step 5: Solve for x
    x = 414,482.74/702.78
  6. Step 6: Final answer
    x = 589.78

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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.