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Finding the Fourth Proportional to 768.48, 1,151.70 and 402.52

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Solution

The fourth proportional to 768.48, 1,151.70 and 402.52 is: 603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.48 : 1,151.70 = 402.52 : x
  2. Step 2: Convert to fraction form
    768.48/1,151.70 = 402.52/x
  3. Step 3: Cross multiply
    768.48x = 1,151.70 × 402.52
  4. Step 4: Simplify right side
    768.48x = 463,582.28
  5. Step 5: Solve for x
    x = 463,582.28/768.48
  6. Step 6: Final answer
    x = 603.25

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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.