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Finding the Fourth Proportional to 977.50, 1,349.10 and 604.36

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Solution

The fourth proportional to 977.50, 1,349.10 and 604.36 is: 834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.50 : 1,349.10 = 604.36 : x
  2. Step 2: Convert to fraction form
    977.50/1,349.10 = 604.36/x
  3. Step 3: Cross multiply
    977.50x = 1,349.10 × 604.36
  4. Step 4: Simplify right side
    977.50x = 815,342.08
  5. Step 5: Solve for x
    x = 815,342.08/977.50
  6. Step 6: Final answer
    x = 834.11

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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.