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Finding the Fourth Proportional to 977.05, 1,464.76 and 456.79

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Solution

The fourth proportional to 977.05, 1,464.76 and 456.79 is: 684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.05 : 1,464.76 = 456.79 : x
  2. Step 2: Convert to fraction form
    977.05/1,464.76 = 456.79/x
  3. Step 3: Cross multiply
    977.05x = 1,464.76 × 456.79
  4. Step 4: Simplify right side
    977.05x = 669,087.72
  5. Step 5: Solve for x
    x = 669,087.72/977.05
  6. Step 6: Final answer
    x = 684.81

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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.