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Finding the Fourth Proportional to 977.52, 1,463.76 and 651.84

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Solution

The fourth proportional to 977.52, 1,463.76 and 651.84 is: 976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.52 : 1,463.76 = 651.84 : x
  2. Step 2: Convert to fraction form
    977.52/1,463.76 = 651.84/x
  3. Step 3: Cross multiply
    977.52x = 1,463.76 × 651.84
  4. Step 4: Simplify right side
    977.52x = 954,137.32
  5. Step 5: Solve for x
    x = 954,137.32/977.52
  6. Step 6: Final answer
    x = 976.08

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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.