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Finding the Fourth Proportional to 946.75, 1,306.74 and 553.84

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Solution

The fourth proportional to 946.75, 1,306.74 and 553.84 is: 764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.75 : 1,306.74 = 553.84 : x
  2. Step 2: Convert to fraction form
    946.75/1,306.74 = 553.84/x
  3. Step 3: Cross multiply
    946.75x = 1,306.74 × 553.84
  4. Step 4: Simplify right side
    946.75x = 723,724.88
  5. Step 5: Solve for x
    x = 723,724.88/946.75
  6. Step 6: Final answer
    x = 764.43

Related Problems

Find fourth proportional to 473.38, 653.37 and 276.92
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.