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Finding the Fourth Proportional to 895.96, 1,345.14 and 866.80

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Solution

The fourth proportional to 895.96, 1,345.14 and 866.80 is: 1,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.96 : 1,345.14 = 866.80 : x
  2. Step 2: Convert to fraction form
    895.96/1,345.14 = 866.80/x
  3. Step 3: Cross multiply
    895.96x = 1,345.14 × 866.80
  4. Step 4: Simplify right side
    895.96x = 1,165,967.35
  5. Step 5: Solve for x
    x = 1,165,967.35/895.96
  6. Step 6: Final answer
    x = 1,301.36

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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.