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Finding the Fourth Proportional to 558.51, 834.74 and 514.74

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Solution

The fourth proportional to 558.51, 834.74 and 514.74 is: 769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.51 : 834.74 = 514.74 : x
  2. Step 2: Convert to fraction form
    558.51/834.74 = 514.74/x
  3. Step 3: Cross multiply
    558.51x = 834.74 × 514.74
  4. Step 4: Simplify right side
    558.51x = 429,671.49
  5. Step 5: Solve for x
    x = 429,671.49/558.51
  6. Step 6: Final answer
    x = 769.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.