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Finding the Fourth Proportional to 977.80, 1,464.14 and 920.20

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Solution

The fourth proportional to 977.80, 1,464.14 and 920.20 is: 1,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.80 : 1,464.14 = 920.20 : x
  2. Step 2: Convert to fraction form
    977.80/1,464.14 = 920.20/x
  3. Step 3: Cross multiply
    977.80x = 1,464.14 × 920.20
  4. Step 4: Simplify right side
    977.80x = 1,347,301.63
  5. Step 5: Solve for x
    x = 1,347,301.63/977.80
  6. Step 6: Final answer
    x = 1,377.89

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1.5x scale

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.