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Finding the Fourth Proportional to 760.34, 1,140.53 and 266.59

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Solution

The fourth proportional to 760.34, 1,140.53 and 266.59 is: 399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.34 : 1,140.53 = 266.59 : x
  2. Step 2: Convert to fraction form
    760.34/1,140.53 = 266.59/x
  3. Step 3: Cross multiply
    760.34x = 1,140.53 × 266.59
  4. Step 4: Simplify right side
    760.34x = 304,055.48
  5. Step 5: Solve for x
    x = 304,055.48/760.34
  6. Step 6: Final answer
    x = 399.90

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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.