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Finding the Fourth Proportional to 904.13, 1,247.37 and 549.91

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Solution

The fourth proportional to 904.13, 1,247.37 and 549.91 is: 758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.13 : 1,247.37 = 549.91 : x
  2. Step 2: Convert to fraction form
    904.13/1,247.37 = 549.91/x
  3. Step 3: Cross multiply
    904.13x = 1,247.37 × 549.91
  4. Step 4: Simplify right side
    904.13x = 685,933.72
  5. Step 5: Solve for x
    x = 685,933.72/904.13
  6. Step 6: Final answer
    x = 758.67

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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.