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Finding the Fourth Proportional to 895.02, 1,339.80 and 483.14

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Solution

The fourth proportional to 895.02, 1,339.80 and 483.14 is: 723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.02 : 1,339.80 = 483.14 : x
  2. Step 2: Convert to fraction form
    895.02/1,339.80 = 483.14/x
  3. Step 3: Cross multiply
    895.02x = 1,339.80 × 483.14
  4. Step 4: Simplify right side
    895.02x = 647,310.97
  5. Step 5: Solve for x
    x = 647,310.97/895.02
  6. Step 6: Final answer
    x = 723.24

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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.