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Finding the Fourth Proportional to 678.77, 936.27 and 521.16

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Solution

The fourth proportional to 678.77, 936.27 and 521.16 is: 718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.77 : 936.27 = 521.16 : x
  2. Step 2: Convert to fraction form
    678.77/936.27 = 521.16/x
  3. Step 3: Cross multiply
    678.77x = 936.27 × 521.16
  4. Step 4: Simplify right side
    678.77x = 487,947.06
  5. Step 5: Solve for x
    x = 487,947.06/678.77
  6. Step 6: Final answer
    x = 718.87

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Find fourth proportional to 339.38, 468.14 and 260.58
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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.