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Finding the Fourth Proportional to 702.03, 1,050.96 and 520.23

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Solution

The fourth proportional to 702.03, 1,050.96 and 520.23 is: 778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.03 : 1,050.96 = 520.23 : x
  2. Step 2: Convert to fraction form
    702.03/1,050.96 = 520.23/x
  3. Step 3: Cross multiply
    702.03x = 1,050.96 × 520.23
  4. Step 4: Simplify right side
    702.03x = 546,740.92
  5. Step 5: Solve for x
    x = 546,740.92/702.03
  6. Step 6: Final answer
    x = 778.80

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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.