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Finding the Fourth Proportional to 530.01, 789.97 and 519.77

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Solution

The fourth proportional to 530.01, 789.97 and 519.77 is: 774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.01 : 789.97 = 519.77 : x
  2. Step 2: Convert to fraction form
    530.01/789.97 = 519.77/x
  3. Step 3: Cross multiply
    530.01x = 789.97 × 519.77
  4. Step 4: Simplify right side
    530.01x = 410,599.91
  5. Step 5: Solve for x
    x = 410,599.91/530.01
  6. Step 6: Final answer
    x = 774.70

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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.