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Finding the Fourth Proportional to 760.25, 1,048.91 and 428.61

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Solution

The fourth proportional to 760.25, 1,048.91 and 428.61 is: 591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.25 : 1,048.91 = 428.61 : x
  2. Step 2: Convert to fraction form
    760.25/1,048.91 = 428.61/x
  3. Step 3: Cross multiply
    760.25x = 1,048.91 × 428.61
  4. Step 4: Simplify right side
    760.25x = 449,571.17
  5. Step 5: Solve for x
    x = 449,571.17/760.25
  6. Step 6: Final answer
    x = 591.35

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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.