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Finding the Fourth Proportional to 768.90, 1,061.06 and 437.35

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Solution

The fourth proportional to 768.90, 1,061.06 and 437.35 is: 603.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.90 : 1,061.06 = 437.35 : x
  2. Step 2: Convert to fraction form
    768.90/1,061.06 = 437.35/x
  3. Step 3: Cross multiply
    768.90x = 1,061.06 × 437.35
  4. Step 4: Simplify right side
    768.90x = 464,054.59
  5. Step 5: Solve for x
    x = 464,054.59/768.90
  6. Step 6: Final answer
    x = 603.53

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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.