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Finding the Fourth Proportional to 771.90, 1,162.30 and 567.90

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Solution

The fourth proportional to 771.90, 1,162.30 and 567.90 is: 855.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.90 : 1,162.30 = 567.90 : x
  2. Step 2: Convert to fraction form
    771.90/1,162.30 = 567.90/x
  3. Step 3: Cross multiply
    771.90x = 1,162.30 × 567.90
  4. Step 4: Simplify right side
    771.90x = 660,070.17
  5. Step 5: Solve for x
    x = 660,070.17/771.90
  6. Step 6: Final answer
    x = 855.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.