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Finding the Fourth Proportional to 530.57, 795.86 and 145.82

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Solution

The fourth proportional to 530.57, 795.86 and 145.82 is: 218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.57 : 795.86 = 145.82 : x
  2. Step 2: Convert to fraction form
    530.57/795.86 = 145.82/x
  3. Step 3: Cross multiply
    530.57x = 795.86 × 145.82
  4. Step 4: Simplify right side
    530.57x = 116,052.31
  5. Step 5: Solve for x
    x = 116,052.31/530.57
  6. Step 6: Final answer
    x = 218.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.