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Finding the Fourth Proportional to 501.54, 752.35 and 172.35

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Solution

The fourth proportional to 501.54, 752.35 and 172.35 is: 258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.54 : 752.35 = 172.35 : x
  2. Step 2: Convert to fraction form
    501.54/752.35 = 172.35/x
  3. Step 3: Cross multiply
    501.54x = 752.35 × 172.35
  4. Step 4: Simplify right side
    501.54x = 129,667.52
  5. Step 5: Solve for x
    x = 129,667.52/501.54
  6. Step 6: Final answer
    x = 258.54

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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.