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Finding the Fourth Proportional to 702.05, 1,051.88 and 393.71

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Solution

The fourth proportional to 702.05, 1,051.88 and 393.71 is: 589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.05 : 1,051.88 = 393.71 : x
  2. Step 2: Convert to fraction form
    702.05/1,051.88 = 393.71/x
  3. Step 3: Cross multiply
    702.05x = 1,051.88 × 393.71
  4. Step 4: Simplify right side
    702.05x = 414,132.39
  5. Step 5: Solve for x
    x = 414,132.39/702.05
  6. Step 6: Final answer
    x = 589.89

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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.