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Finding the Fourth Proportional to 502.89, 749.99 and 430.23

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Solution

The fourth proportional to 502.89, 749.99 and 430.23 is: 641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.89 : 749.99 = 430.23 : x
  2. Step 2: Convert to fraction form
    502.89/749.99 = 430.23/x
  3. Step 3: Cross multiply
    502.89x = 749.99 × 430.23
  4. Step 4: Simplify right side
    502.89x = 322,666.05
  5. Step 5: Solve for x
    x = 322,666.05/502.89
  6. Step 6: Final answer
    x = 641.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.