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Finding the Fourth Proportional to 917.81, 1,368.67 and 818.23

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Solution

The fourth proportional to 917.81, 1,368.67 and 818.23 is: 1,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.81 : 1,368.67 = 818.23 : x
  2. Step 2: Convert to fraction form
    917.81/1,368.67 = 818.23/x
  3. Step 3: Cross multiply
    917.81x = 1,368.67 × 818.23
  4. Step 4: Simplify right side
    917.81x = 1,119,875.92
  5. Step 5: Solve for x
    x = 1,119,875.92/917.81
  6. Step 6: Final answer
    x = 1,220.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.