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Finding the Fourth Proportional to 977.39, 1,466.54 and 456.75

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Solution

The fourth proportional to 977.39, 1,466.54 and 456.75 is: 685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.39 : 1,466.54 = 456.75 : x
  2. Step 2: Convert to fraction form
    977.39/1,466.54 = 456.75/x
  3. Step 3: Cross multiply
    977.39x = 1,466.54 × 456.75
  4. Step 4: Simplify right side
    977.39x = 669,842.67
  5. Step 5: Solve for x
    x = 669,842.67/977.39
  6. Step 6: Final answer
    x = 685.34

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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.