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Finding the Fourth Proportional to 780.35, 1,170.65 and 702.90

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Solution

The fourth proportional to 780.35, 1,170.65 and 702.90 is: 1,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.35 : 1,170.65 = 702.90 : x
  2. Step 2: Convert to fraction form
    780.35/1,170.65 = 702.90/x
  3. Step 3: Cross multiply
    780.35x = 1,170.65 × 702.90
  4. Step 4: Simplify right side
    780.35x = 822,846.37
  5. Step 5: Solve for x
    x = 822,846.37/780.35
  6. Step 6: Final answer
    x = 1,054.46

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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.