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Finding the Fourth Proportional to 530.26, 795.12 and 414.70

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Solution

The fourth proportional to 530.26, 795.12 and 414.70 is: 621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.26 : 795.12 = 414.70 : x
  2. Step 2: Convert to fraction form
    530.26/795.12 = 414.70/x
  3. Step 3: Cross multiply
    530.26x = 795.12 × 414.70
  4. Step 4: Simplify right side
    530.26x = 329,736.26
  5. Step 5: Solve for x
    x = 329,736.26/530.26
  6. Step 6: Final answer
    x = 621.84

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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.