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Finding the Fourth Proportional to 507.12, 759.84 and 430.56

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Solution

The fourth proportional to 507.12, 759.84 and 430.56 is: 645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.12 : 759.84 = 430.56 : x
  2. Step 2: Convert to fraction form
    507.12/759.84 = 430.56/x
  3. Step 3: Cross multiply
    507.12x = 759.84 × 430.56
  4. Step 4: Simplify right side
    507.12x = 327,156.71
  5. Step 5: Solve for x
    x = 327,156.71/507.12
  6. Step 6: Final answer
    x = 645.13

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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.