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Finding the Fourth Proportional to 760.93, 1,140.89 and 240.77

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Solution

The fourth proportional to 760.93, 1,140.89 and 240.77 is: 361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.93 : 1,140.89 = 240.77 : x
  2. Step 2: Convert to fraction form
    760.93/1,140.89 = 240.77/x
  3. Step 3: Cross multiply
    760.93x = 1,140.89 × 240.77
  4. Step 4: Simplify right side
    760.93x = 274,693.73
  5. Step 5: Solve for x
    x = 274,693.73/760.93
  6. Step 6: Final answer
    x = 361.00

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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.