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Finding the Fourth Proportional to 806.59, 1,113.07 and 570.29

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Solution

The fourth proportional to 806.59, 1,113.07 and 570.29 is: 786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.59 : 1,113.07 = 570.29 : x
  2. Step 2: Convert to fraction form
    806.59/1,113.07 = 570.29/x
  3. Step 3: Cross multiply
    806.59x = 1,113.07 × 570.29
  4. Step 4: Simplify right side
    806.59x = 634,772.69
  5. Step 5: Solve for x
    x = 634,772.69/806.59
  6. Step 6: Final answer
    x = 786.98

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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.