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Finding the Fourth Proportional to 977.46, 1,341.72 and 864.48

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Solution

The fourth proportional to 977.46, 1,341.72 and 864.48 is: 1,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.46 : 1,341.72 = 864.48 : x
  2. Step 2: Convert to fraction form
    977.46/1,341.72 = 864.48/x
  3. Step 3: Cross multiply
    977.46x = 1,341.72 × 864.48
  4. Step 4: Simplify right side
    977.46x = 1,159,890.11
  5. Step 5: Solve for x
    x = 1,159,890.11/977.46
  6. Step 6: Final answer
    x = 1,186.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.