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Finding the Fourth Proportional to 708.69, 975.57 and 614.89

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Solution

The fourth proportional to 708.69, 975.57 and 614.89 is: 846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.69 : 975.57 = 614.89 : x
  2. Step 2: Convert to fraction form
    708.69/975.57 = 614.89/x
  3. Step 3: Cross multiply
    708.69x = 975.57 × 614.89
  4. Step 4: Simplify right side
    708.69x = 599,860.29
  5. Step 5: Solve for x
    x = 599,860.29/708.69
  6. Step 6: Final answer
    x = 846.44

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Half scale
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Double scale
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1.5x scale

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.