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Finding the Fourth Proportional to 904.20, 1,247.43 and 609.66

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Solution

The fourth proportional to 904.20, 1,247.43 and 609.66 is: 841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.20 : 1,247.43 = 609.66 : x
  2. Step 2: Convert to fraction form
    904.20/1,247.43 = 609.66/x
  3. Step 3: Cross multiply
    904.20x = 1,247.43 × 609.66
  4. Step 4: Simplify right side
    904.20x = 760,501.94
  5. Step 5: Solve for x
    x = 760,501.94/904.20
  6. Step 6: Final answer
    x = 841.08

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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.