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Finding the Fourth Proportional to 708.36, 1,060.65 and 570.66

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Solution

The fourth proportional to 708.36, 1,060.65 and 570.66 is: 854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.36 : 1,060.65 = 570.66 : x
  2. Step 2: Convert to fraction form
    708.36/1,060.65 = 570.66/x
  3. Step 3: Cross multiply
    708.36x = 1,060.65 × 570.66
  4. Step 4: Simplify right side
    708.36x = 605,270.53
  5. Step 5: Solve for x
    x = 605,270.53/708.36
  6. Step 6: Final answer
    x = 854.47

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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.