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Finding the Fourth Proportional to 895.55, 1,340.57 and 571.14

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Solution

The fourth proportional to 895.55, 1,340.57 and 571.14 is: 854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.55 : 1,340.57 = 571.14 : x
  2. Step 2: Convert to fraction form
    895.55/1,340.57 = 571.14/x
  3. Step 3: Cross multiply
    895.55x = 1,340.57 × 571.14
  4. Step 4: Simplify right side
    895.55x = 765,650.29
  5. Step 5: Solve for x
    x = 765,650.29/895.55
  6. Step 6: Final answer
    x = 854.95

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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.