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Finding the Fourth Proportional to 501.56, 750.90 and 463.28

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Solution

The fourth proportional to 501.56, 750.90 and 463.28 is: 693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.56 : 750.90 = 463.28 : x
  2. Step 2: Convert to fraction form
    501.56/750.90 = 463.28/x
  3. Step 3: Cross multiply
    501.56x = 750.90 × 463.28
  4. Step 4: Simplify right side
    501.56x = 347,876.95
  5. Step 5: Solve for x
    x = 347,876.95/501.56
  6. Step 6: Final answer
    x = 693.59

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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.