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Finding the Fourth Proportional to 895.50, 1,343.64 and 462.42

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Solution

The fourth proportional to 895.50, 1,343.64 and 462.42 is: 693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.50 : 1,343.64 = 462.42 : x
  2. Step 2: Convert to fraction form
    895.50/1,343.64 = 462.42/x
  3. Step 3: Cross multiply
    895.50x = 1,343.64 × 462.42
  4. Step 4: Simplify right side
    895.50x = 621,326.01
  5. Step 5: Solve for x
    x = 621,326.01/895.50
  6. Step 6: Final answer
    x = 693.83

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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.