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Finding the Fourth Proportional to 531.34, 795.30 and 512.32

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Solution

The fourth proportional to 531.34, 795.30 and 512.32 is: 766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.34 : 795.30 = 512.32 : x
  2. Step 2: Convert to fraction form
    531.34/795.30 = 512.32/x
  3. Step 3: Cross multiply
    531.34x = 795.30 × 512.32
  4. Step 4: Simplify right side
    531.34x = 407,448.10
  5. Step 5: Solve for x
    x = 407,448.10/531.34
  6. Step 6: Final answer
    x = 766.83

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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.