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Finding the Fourth Proportional to 904.85, 1,357.85 and 494.25

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Solution

The fourth proportional to 904.85, 1,357.85 and 494.25 is: 741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.85 : 1,357.85 = 494.25 : x
  2. Step 2: Convert to fraction form
    904.85/1,357.85 = 494.25/x
  3. Step 3: Cross multiply
    904.85x = 1,357.85 × 494.25
  4. Step 4: Simplify right side
    904.85x = 671,117.36
  5. Step 5: Solve for x
    x = 671,117.36/904.85
  6. Step 6: Final answer
    x = 741.69

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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.