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Finding the Fourth Proportional to 760.22, 1,048.64 and 480.23

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Solution

The fourth proportional to 760.22, 1,048.64 and 480.23 is: 662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.22 : 1,048.64 = 480.23 : x
  2. Step 2: Convert to fraction form
    760.22/1,048.64 = 480.23/x
  3. Step 3: Cross multiply
    760.22x = 1,048.64 × 480.23
  4. Step 4: Simplify right side
    760.22x = 503,580.74
  5. Step 5: Solve for x
    x = 503,580.74/760.22
  6. Step 6: Final answer
    x = 662.42

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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.