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Finding the Fourth Proportional to 895.74, 1,346.22 and 742.64

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Solution

The fourth proportional to 895.74, 1,346.22 and 742.64 is: 1,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.74 : 1,346.22 = 742.64 : x
  2. Step 2: Convert to fraction form
    895.74/1,346.22 = 742.64/x
  3. Step 3: Cross multiply
    895.74x = 1,346.22 × 742.64
  4. Step 4: Simplify right side
    895.74x = 999,756.82
  5. Step 5: Solve for x
    x = 999,756.82/895.74
  6. Step 6: Final answer
    x = 1,116.12

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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.