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Finding the Fourth Proportional to 895.70, 1,341.38 and 793.10

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Solution

The fourth proportional to 895.70, 1,341.38 and 793.10 is: 1,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.70 : 1,341.38 = 793.10 : x
  2. Step 2: Convert to fraction form
    895.70/1,341.38 = 793.10/x
  3. Step 3: Cross multiply
    895.70x = 1,341.38 × 793.10
  4. Step 4: Simplify right side
    895.70x = 1,063,848.48
  5. Step 5: Solve for x
    x = 1,063,848.48/895.70
  6. Step 6: Final answer
    x = 1,187.73

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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.