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Finding the Fourth Proportional to 977.56, 1,348.51 and 604.86

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Solution

The fourth proportional to 977.56, 1,348.51 and 604.86 is: 834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.56 : 1,348.51 = 604.86 : x
  2. Step 2: Convert to fraction form
    977.56/1,348.51 = 604.86/x
  3. Step 3: Cross multiply
    977.56x = 1,348.51 × 604.86
  4. Step 4: Simplify right side
    977.56x = 815,659.76
  5. Step 5: Solve for x
    x = 815,659.76/977.56
  6. Step 6: Final answer
    x = 834.38

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1.5x scale

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.