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Finding the Fourth Proportional to 914.30, 1,282.90 and 914.30

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Solution

The fourth proportional to 914.30, 1,282.90 and 914.30 is: 1,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.30 : 1,282.90 = 914.30 : x
  2. Step 2: Convert to fraction form
    914.30/1,282.90 = 914.30/x
  3. Step 3: Cross multiply
    914.30x = 1,282.90 × 914.30
  4. Step 4: Simplify right side
    914.30x = 1,172,955.47
  5. Step 5: Solve for x
    x = 1,172,955.47/914.30
  6. Step 6: Final answer
    x = 1,282.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.