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Finding the Fourth Proportional to 977.62, 1,465.61 and 457.34

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Solution

The fourth proportional to 977.62, 1,465.61 and 457.34 is: 685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.62 : 1,465.61 = 457.34 : x
  2. Step 2: Convert to fraction form
    977.62/1,465.61 = 457.34/x
  3. Step 3: Cross multiply
    977.62x = 1,465.61 × 457.34
  4. Step 4: Simplify right side
    977.62x = 670,286.88
  5. Step 5: Solve for x
    x = 670,286.88/977.62
  6. Step 6: Final answer
    x = 685.63

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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.