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Finding the Fourth Proportional to 895.48, 1,342.63 and 432.34

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Solution

The fourth proportional to 895.48, 1,342.63 and 432.34 is: 648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.48 : 1,342.63 = 432.34 : x
  2. Step 2: Convert to fraction form
    895.48/1,342.63 = 432.34/x
  3. Step 3: Cross multiply
    895.48x = 1,342.63 × 432.34
  4. Step 4: Simplify right side
    895.48x = 580,472.65
  5. Step 5: Solve for x
    x = 580,472.65/895.48
  6. Step 6: Final answer
    x = 648.23

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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.