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Finding the Fourth Proportional to 530.15, 736.01 and 514.31

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Solution

The fourth proportional to 530.15, 736.01 and 514.31 is: 714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.15 : 736.01 = 514.31 : x
  2. Step 2: Convert to fraction form
    530.15/736.01 = 514.31/x
  3. Step 3: Cross multiply
    530.15x = 736.01 × 514.31
  4. Step 4: Simplify right side
    530.15x = 378,537.30
  5. Step 5: Solve for x
    x = 378,537.30/530.15
  6. Step 6: Final answer
    x = 714.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.