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Finding the Fourth Proportional to 702.07, 1,050.52 and 423.43

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Solution

The fourth proportional to 702.07, 1,050.52 and 423.43 is: 633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.07 : 1,050.52 = 423.43 : x
  2. Step 2: Convert to fraction form
    702.07/1,050.52 = 423.43/x
  3. Step 3: Cross multiply
    702.07x = 1,050.52 × 423.43
  4. Step 4: Simplify right side
    702.07x = 444,818.79
  5. Step 5: Solve for x
    x = 444,818.79/702.07
  6. Step 6: Final answer
    x = 633.58

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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.