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Finding the Fourth Proportional to 760.54, 1,140.72 and 266.84

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Solution

The fourth proportional to 760.54, 1,140.72 and 266.84 is: 400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.54 : 1,140.72 = 266.84 : x
  2. Step 2: Convert to fraction form
    760.54/1,140.72 = 266.84/x
  3. Step 3: Cross multiply
    760.54x = 1,140.72 × 266.84
  4. Step 4: Simplify right side
    760.54x = 304,389.72
  5. Step 5: Solve for x
    x = 304,389.72/760.54
  6. Step 6: Final answer
    x = 400.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.