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Finding the Fourth Proportional to 940.86, 1,407.18 and 549.93

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Solution

The fourth proportional to 940.86, 1,407.18 and 549.93 is: 822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.86 : 1,407.18 = 549.93 : x
  2. Step 2: Convert to fraction form
    940.86/1,407.18 = 549.93/x
  3. Step 3: Cross multiply
    940.86x = 1,407.18 × 549.93
  4. Step 4: Simplify right side
    940.86x = 773,850.50
  5. Step 5: Solve for x
    x = 773,850.50/940.86
  6. Step 6: Final answer
    x = 822.49

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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.