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Finding the Fourth Proportional to 772.62, 1,065.84 and 510.18

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Solution

The fourth proportional to 772.62, 1,065.84 and 510.18 is: 703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.62 : 1,065.84 = 510.18 : x
  2. Step 2: Convert to fraction form
    772.62/1,065.84 = 510.18/x
  3. Step 3: Cross multiply
    772.62x = 1,065.84 × 510.18
  4. Step 4: Simplify right side
    772.62x = 543,770.25
  5. Step 5: Solve for x
    x = 543,770.25/772.62
  6. Step 6: Final answer
    x = 703.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.