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Finding the Fourth Proportional to 895.70, 1,235.90 and 541.55

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Solution

The fourth proportional to 895.70, 1,235.90 and 541.55 is: 747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.70 : 1,235.90 = 541.55 : x
  2. Step 2: Convert to fraction form
    895.70/1,235.90 = 541.55/x
  3. Step 3: Cross multiply
    895.70x = 1,235.90 × 541.55
  4. Step 4: Simplify right side
    895.70x = 669,298.94
  5. Step 5: Solve for x
    x = 669,298.94/895.70
  6. Step 6: Final answer
    x = 747.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.