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Finding the Fourth Proportional to 976.68, 1,347.62 and 583.72

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Solution

The fourth proportional to 976.68, 1,347.62 and 583.72 is: 805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.68 : 1,347.62 = 583.72 : x
  2. Step 2: Convert to fraction form
    976.68/1,347.62 = 583.72/x
  3. Step 3: Cross multiply
    976.68x = 1,347.62 × 583.72
  4. Step 4: Simplify right side
    976.68x = 786,632.75
  5. Step 5: Solve for x
    x = 786,632.75/976.68
  6. Step 6: Final answer
    x = 805.42

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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.