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Finding the Fourth Proportional to 977.04, 1,462.70 and 513.72

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Solution

The fourth proportional to 977.04, 1,462.70 and 513.72 is: 769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.04 : 1,462.70 = 513.72 : x
  2. Step 2: Convert to fraction form
    977.04/1,462.70 = 513.72/x
  3. Step 3: Cross multiply
    977.04x = 1,462.70 × 513.72
  4. Step 4: Simplify right side
    977.04x = 751,418.24
  5. Step 5: Solve for x
    x = 751,418.24/977.04
  6. Step 6: Final answer
    x = 769.08

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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.