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Finding the Fourth Proportional to 895.16, 1,340.70 and 433.27

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Solution

The fourth proportional to 895.16, 1,340.70 and 433.27 is: 648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.16 : 1,340.70 = 433.27 : x
  2. Step 2: Convert to fraction form
    895.16/1,340.70 = 433.27/x
  3. Step 3: Cross multiply
    895.16x = 1,340.70 × 433.27
  4. Step 4: Simplify right side
    895.16x = 580,885.14
  5. Step 5: Solve for x
    x = 580,885.14/895.16
  6. Step 6: Final answer
    x = 648.92

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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.