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Finding the Fourth Proportional to 507.72, 764.53 and 430.95

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Solution

The fourth proportional to 507.72, 764.53 and 430.95 is: 648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.72 : 764.53 = 430.95 : x
  2. Step 2: Convert to fraction form
    507.72/764.53 = 430.95/x
  3. Step 3: Cross multiply
    507.72x = 764.53 × 430.95
  4. Step 4: Simplify right side
    507.72x = 329,474.20
  5. Step 5: Solve for x
    x = 329,474.20/507.72
  6. Step 6: Final answer
    x = 648.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.