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Finding the Fourth Proportional to 760.65, 1,049.75 and 573.81

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Solution

The fourth proportional to 760.65, 1,049.75 and 573.81 is: 791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.65 : 1,049.75 = 573.81 : x
  2. Step 2: Convert to fraction form
    760.65/1,049.75 = 573.81/x
  3. Step 3: Cross multiply
    760.65x = 1,049.75 × 573.81
  4. Step 4: Simplify right side
    760.65x = 602,354.18
  5. Step 5: Solve for x
    x = 602,354.18/760.65
  6. Step 6: Final answer
    x = 791.89

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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.