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Finding the Fourth Proportional to 918.50, 1,266.74 and 568.58

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Solution

The fourth proportional to 918.50, 1,266.74 and 568.58 is: 784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.50 : 1,266.74 = 568.58 : x
  2. Step 2: Convert to fraction form
    918.50/1,266.74 = 568.58/x
  3. Step 3: Cross multiply
    918.50x = 1,266.74 × 568.58
  4. Step 4: Simplify right side
    918.50x = 720,243.03
  5. Step 5: Solve for x
    x = 720,243.03/918.50
  6. Step 6: Final answer
    x = 784.15

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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.