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Finding the Fourth Proportional to 895.80, 1,342.32 and 664.32

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Solution

The fourth proportional to 895.80, 1,342.32 and 664.32 is: 995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.80 : 1,342.32 = 664.32 : x
  2. Step 2: Convert to fraction form
    895.80/1,342.32 = 664.32/x
  3. Step 3: Cross multiply
    895.80x = 1,342.32 × 664.32
  4. Step 4: Simplify right side
    895.80x = 891,730.02
  5. Step 5: Solve for x
    x = 891,730.02/895.80
  6. Step 6: Final answer
    x = 995.46

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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.