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Finding the Fourth Proportional to 916.75, 1,265.69 and 568.05

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Solution

The fourth proportional to 916.75, 1,265.69 and 568.05 is: 784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.75 : 1,265.69 = 568.05 : x
  2. Step 2: Convert to fraction form
    916.75/1,265.69 = 568.05/x
  3. Step 3: Cross multiply
    916.75x = 1,265.69 × 568.05
  4. Step 4: Simplify right side
    916.75x = 718,971.88
  5. Step 5: Solve for x
    x = 718,971.88/916.75
  6. Step 6: Final answer
    x = 784.26

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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.