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Finding the Fourth Proportional to 895.12, 1,340.64 and 504.52

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Solution

The fourth proportional to 895.12, 1,340.64 and 504.52 is: 755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.12 : 1,340.64 = 504.52 : x
  2. Step 2: Convert to fraction form
    895.12/1,340.64 = 504.52/x
  3. Step 3: Cross multiply
    895.12x = 1,340.64 × 504.52
  4. Step 4: Simplify right side
    895.12x = 676,379.69
  5. Step 5: Solve for x
    x = 676,379.69/895.12
  6. Step 6: Final answer
    x = 755.63

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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.