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Finding the Fourth Proportional to 904.42, 1,247.64 and 589.66

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Solution

The fourth proportional to 904.42, 1,247.64 and 589.66 is: 813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.42 : 1,247.64 = 589.66 : x
  2. Step 2: Convert to fraction form
    904.42/1,247.64 = 589.66/x
  3. Step 3: Cross multiply
    904.42x = 1,247.64 × 589.66
  4. Step 4: Simplify right side
    904.42x = 735,683.40
  5. Step 5: Solve for x
    x = 735,683.40/904.42
  6. Step 6: Final answer
    x = 813.43

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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.