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Finding the Fourth Proportional to 1,081.37, 1,492.53 and 904.13

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Solution

The fourth proportional to 1,081.37, 1,492.53 and 904.13 is: 1,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.37 : 1,492.53 = 904.13 : x
  2. Step 2: Convert to fraction form
    1,081.37/1,492.53 = 904.13/x
  3. Step 3: Cross multiply
    1,081.37x = 1,492.53 × 904.13
  4. Step 4: Simplify right side
    1,081.37x = 1,349,441.15
  5. Step 5: Solve for x
    x = 1,349,441.15/1,081.37
  6. Step 6: Final answer
    x = 1,247.90

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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.