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Finding the Fourth Proportional to 760.89, 1,048.23 and 627.24

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Solution

The fourth proportional to 760.89, 1,048.23 and 627.24 is: 864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.89 : 1,048.23 = 627.24 : x
  2. Step 2: Convert to fraction form
    760.89/1,048.23 = 627.24/x
  3. Step 3: Cross multiply
    760.89x = 1,048.23 × 627.24
  4. Step 4: Simplify right side
    760.89x = 657,491.79
  5. Step 5: Solve for x
    x = 657,491.79/760.89
  6. Step 6: Final answer
    x = 864.11

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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.