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Finding the Fourth Proportional to 701.81, 1,050.58 and 570.59

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Solution

The fourth proportional to 701.81, 1,050.58 and 570.59 is: 854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.81 : 1,050.58 = 570.59 : x
  2. Step 2: Convert to fraction form
    701.81/1,050.58 = 570.59/x
  3. Step 3: Cross multiply
    701.81x = 1,050.58 × 570.59
  4. Step 4: Simplify right side
    701.81x = 599,442.34
  5. Step 5: Solve for x
    x = 599,442.34/701.81
  6. Step 6: Final answer
    x = 854.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.