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Finding the Fourth Proportional to 977.56, 1,345.98 and 847.96

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Solution

The fourth proportional to 977.56, 1,345.98 and 847.96 is: 1,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.56 : 1,345.98 = 847.96 : x
  2. Step 2: Convert to fraction form
    977.56/1,345.98 = 847.96/x
  3. Step 3: Cross multiply
    977.56x = 1,345.98 × 847.96
  4. Step 4: Simplify right side
    977.56x = 1,141,337.20
  5. Step 5: Solve for x
    x = 1,141,337.20/977.56
  6. Step 6: Final answer
    x = 1,167.54

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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.