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Finding the Fourth Proportional to 760.69, 1,054.54 and 719.11

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Solution

The fourth proportional to 760.69, 1,054.54 and 719.11 is: 996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.69 : 1,054.54 = 719.11 : x
  2. Step 2: Convert to fraction form
    760.69/1,054.54 = 719.11/x
  3. Step 3: Cross multiply
    760.69x = 1,054.54 × 719.11
  4. Step 4: Simplify right side
    760.69x = 758,328.43
  5. Step 5: Solve for x
    x = 758,328.43/760.69
  6. Step 6: Final answer
    x = 996.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.