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Finding the Fourth Proportional to 501.30, 748.67 and 436.50

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Solution

The fourth proportional to 501.30, 748.67 and 436.50 is: 651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.30 : 748.67 = 436.50 : x
  2. Step 2: Convert to fraction form
    501.30/748.67 = 436.50/x
  3. Step 3: Cross multiply
    501.30x = 748.67 × 436.50
  4. Step 4: Simplify right side
    501.30x = 326,792.27
  5. Step 5: Solve for x
    x = 326,792.27/501.30
  6. Step 6: Final answer
    x = 651.89

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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.