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Finding the Fourth Proportional to 904.02, 1,246.77 and 589.17

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Solution

The fourth proportional to 904.02, 1,246.77 and 589.17 is: 812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.02 : 1,246.77 = 589.17 : x
  2. Step 2: Convert to fraction form
    904.02/1,246.77 = 589.17/x
  3. Step 3: Cross multiply
    904.02x = 1,246.77 × 589.17
  4. Step 4: Simplify right side
    904.02x = 734,559.48
  5. Step 5: Solve for x
    x = 734,559.48/904.02
  6. Step 6: Final answer
    x = 812.55

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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.