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Finding the Fourth Proportional to 751.93, 1,127.90 and 493.57

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Solution

The fourth proportional to 751.93, 1,127.90 and 493.57 is: 740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.93 : 1,127.90 = 493.57 : x
  2. Step 2: Convert to fraction form
    751.93/1,127.90 = 493.57/x
  3. Step 3: Cross multiply
    751.93x = 1,127.90 × 493.57
  4. Step 4: Simplify right side
    751.93x = 556,695.69
  5. Step 5: Solve for x
    x = 556,695.69/751.93
  6. Step 6: Final answer
    x = 740.35

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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.