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Finding the Fourth Proportional to 710.24, 979.44 and 513.68

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Solution

The fourth proportional to 710.24, 979.44 and 513.68 is: 708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.24 : 979.44 = 513.68 : x
  2. Step 2: Convert to fraction form
    710.24/979.44 = 513.68/x
  3. Step 3: Cross multiply
    710.24x = 979.44 × 513.68
  4. Step 4: Simplify right side
    710.24x = 503,118.74
  5. Step 5: Solve for x
    x = 503,118.74/710.24
  6. Step 6: Final answer
    x = 708.38

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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.