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Finding the Fourth Proportional to 530.70, 790.96 and 529.88

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Solution

The fourth proportional to 530.70, 790.96 and 529.88 is: 789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.70 : 790.96 = 529.88 : x
  2. Step 2: Convert to fraction form
    530.70/790.96 = 529.88/x
  3. Step 3: Cross multiply
    530.70x = 790.96 × 529.88
  4. Step 4: Simplify right side
    530.70x = 419,113.88
  5. Step 5: Solve for x
    x = 419,113.88/530.70
  6. Step 6: Final answer
    x = 789.74

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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.