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Finding the Fourth Proportional to 977.26, 1,465.88 and 293.26

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Solution

The fourth proportional to 977.26, 1,465.88 and 293.26 is: 439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.26 : 1,465.88 = 293.26 : x
  2. Step 2: Convert to fraction form
    977.26/1,465.88 = 293.26/x
  3. Step 3: Cross multiply
    977.26x = 1,465.88 × 293.26
  4. Step 4: Simplify right side
    977.26x = 429,883.97
  5. Step 5: Solve for x
    x = 429,883.97/977.26
  6. Step 6: Final answer
    x = 439.89

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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.