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Finding the Fourth Proportional to 977.34, 1,347.52 and 851.12

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Solution

The fourth proportional to 977.34, 1,347.52 and 851.12 is: 1,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.34 : 1,347.52 = 851.12 : x
  2. Step 2: Convert to fraction form
    977.34/1,347.52 = 851.12/x
  3. Step 3: Cross multiply
    977.34x = 1,347.52 × 851.12
  4. Step 4: Simplify right side
    977.34x = 1,146,901.22
  5. Step 5: Solve for x
    x = 1,146,901.22/977.34
  6. Step 6: Final answer
    x = 1,173.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.