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Finding the Fourth Proportional to 904.05, 1,356.18 and 493.79

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Solution

The fourth proportional to 904.05, 1,356.18 and 493.79 is: 740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.05 : 1,356.18 = 493.79 : x
  2. Step 2: Convert to fraction form
    904.05/1,356.18 = 493.79/x
  3. Step 3: Cross multiply
    904.05x = 1,356.18 × 493.79
  4. Step 4: Simplify right side
    904.05x = 669,668.12
  5. Step 5: Solve for x
    x = 669,668.12/904.05
  6. Step 6: Final answer
    x = 740.74

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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.