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Finding the Fourth Proportional to 501.63, 752.34 and 420.22

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Solution

The fourth proportional to 501.63, 752.34 and 420.22 is: 630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.63 : 752.34 = 420.22 : x
  2. Step 2: Convert to fraction form
    501.63/752.34 = 420.22/x
  3. Step 3: Cross multiply
    501.63x = 752.34 × 420.22
  4. Step 4: Simplify right side
    501.63x = 316,148.47
  5. Step 5: Solve for x
    x = 316,148.47/501.63
  6. Step 6: Final answer
    x = 630.25

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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.