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Finding the Fourth Proportional to 530.76, 795.87 and 415.20

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Solution

The fourth proportional to 530.76, 795.87 and 415.20 is: 622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 795.87 = 415.20 : x
  2. Step 2: Convert to fraction form
    530.76/795.87 = 415.20/x
  3. Step 3: Cross multiply
    530.76x = 795.87 × 415.20
  4. Step 4: Simplify right side
    530.76x = 330,445.22
  5. Step 5: Solve for x
    x = 330,445.22/530.76
  6. Step 6: Final answer
    x = 622.59

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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.