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Finding the Fourth Proportional to 760.17, 1,048.76 and 480.31

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Solution

The fourth proportional to 760.17, 1,048.76 and 480.31 is: 662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.17 : 1,048.76 = 480.31 : x
  2. Step 2: Convert to fraction form
    760.17/1,048.76 = 480.31/x
  3. Step 3: Cross multiply
    760.17x = 1,048.76 × 480.31
  4. Step 4: Simplify right side
    760.17x = 503,735.29
  5. Step 5: Solve for x
    x = 503,735.29/760.17
  6. Step 6: Final answer
    x = 662.66

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1.5x scale

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.