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Finding the Fourth Proportional to 531.95, 795.89 and 320.07

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Solution

The fourth proportional to 531.95, 795.89 and 320.07 is: 478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.95 : 795.89 = 320.07 : x
  2. Step 2: Convert to fraction form
    531.95/795.89 = 320.07/x
  3. Step 3: Cross multiply
    531.95x = 795.89 × 320.07
  4. Step 4: Simplify right side
    531.95x = 254,744.30
  5. Step 5: Solve for x
    x = 254,744.30/531.95
  6. Step 6: Final answer
    x = 478.89

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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.