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Finding the Fourth Proportional to 775.84, 1,164.24 and 569.90

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Solution

The fourth proportional to 775.84, 1,164.24 and 569.90 is: 855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.84 : 1,164.24 = 569.90 : x
  2. Step 2: Convert to fraction form
    775.84/1,164.24 = 569.90/x
  3. Step 3: Cross multiply
    775.84x = 1,164.24 × 569.90
  4. Step 4: Simplify right side
    775.84x = 663,500.38
  5. Step 5: Solve for x
    x = 663,500.38/775.84
  6. Step 6: Final answer
    x = 855.20

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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.