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Finding the Fourth Proportional to 895.61, 1,343.79 and 505.66

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Solution

The fourth proportional to 895.61, 1,343.79 and 505.66 is: 758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.61 : 1,343.79 = 505.66 : x
  2. Step 2: Convert to fraction form
    895.61/1,343.79 = 505.66/x
  3. Step 3: Cross multiply
    895.61x = 1,343.79 × 505.66
  4. Step 4: Simplify right side
    895.61x = 679,500.85
  5. Step 5: Solve for x
    x = 679,500.85/895.61
  6. Step 6: Final answer
    x = 758.70

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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.