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Finding the Fourth Proportional to 977.13, 1,345.70 and 974.09

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Solution

The fourth proportional to 977.13, 1,345.70 and 974.09 is: 1,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.13 : 1,345.70 = 974.09 : x
  2. Step 2: Convert to fraction form
    977.13/1,345.70 = 974.09/x
  3. Step 3: Cross multiply
    977.13x = 1,345.70 × 974.09
  4. Step 4: Simplify right side
    977.13x = 1,310,821.31
  5. Step 5: Solve for x
    x = 1,310,821.31/977.13
  6. Step 6: Final answer
    x = 1,341.50

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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.