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Finding the Fourth Proportional to 895.61, 1,334.64 and 866.26

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Solution

The fourth proportional to 895.61, 1,334.64 and 866.26 is: 1,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.61 : 1,334.64 = 866.26 : x
  2. Step 2: Convert to fraction form
    895.61/1,334.64 = 866.26/x
  3. Step 3: Cross multiply
    895.61x = 1,334.64 × 866.26
  4. Step 4: Simplify right side
    895.61x = 1,156,134.24
  5. Step 5: Solve for x
    x = 1,156,134.24/895.61
  6. Step 6: Final answer
    x = 1,290.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.