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Finding the Fourth Proportional to 817.30, 1,127.30 and 568.70

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Solution

The fourth proportional to 817.30, 1,127.30 and 568.70 is: 784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.30 : 1,127.30 = 568.70 : x
  2. Step 2: Convert to fraction form
    817.30/1,127.30 = 568.70/x
  3. Step 3: Cross multiply
    817.30x = 1,127.30 × 568.70
  4. Step 4: Simplify right side
    817.30x = 641,095.51
  5. Step 5: Solve for x
    x = 641,095.51/817.30
  6. Step 6: Final answer
    x = 784.41

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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.