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Finding the Fourth Proportional to 764.46, 1,054.95 and 415.15

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Solution

The fourth proportional to 764.46, 1,054.95 and 415.15 is: 572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.46 : 1,054.95 = 415.15 : x
  2. Step 2: Convert to fraction form
    764.46/1,054.95 = 415.15/x
  3. Step 3: Cross multiply
    764.46x = 1,054.95 × 415.15
  4. Step 4: Simplify right side
    764.46x = 437,962.49
  5. Step 5: Solve for x
    x = 437,962.49/764.46
  6. Step 6: Final answer
    x = 572.90

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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.