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Finding the Fourth Proportional to 530.26, 795.42 and 348.82

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Solution

The fourth proportional to 530.26, 795.42 and 348.82 is: 523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.26 : 795.42 = 348.82 : x
  2. Step 2: Convert to fraction form
    530.26/795.42 = 348.82/x
  3. Step 3: Cross multiply
    530.26x = 795.42 × 348.82
  4. Step 4: Simplify right side
    530.26x = 277,458.40
  5. Step 5: Solve for x
    x = 277,458.40/530.26
  6. Step 6: Final answer
    x = 523.25

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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.