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Finding the Fourth Proportional to 768.84, 1,061.06 and 437.20

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Solution

The fourth proportional to 768.84, 1,061.06 and 437.20 is: 603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.84 : 1,061.06 = 437.20 : x
  2. Step 2: Convert to fraction form
    768.84/1,061.06 = 437.20/x
  3. Step 3: Cross multiply
    768.84x = 1,061.06 × 437.20
  4. Step 4: Simplify right side
    768.84x = 463,895.43
  5. Step 5: Solve for x
    x = 463,895.43/768.84
  6. Step 6: Final answer
    x = 603.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.