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Finding the Fourth Proportional to 976.48, 1,347.67 and 556.75

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Solution

The fourth proportional to 976.48, 1,347.67 and 556.75 is: 768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.48 : 1,347.67 = 556.75 : x
  2. Step 2: Convert to fraction form
    976.48/1,347.67 = 556.75/x
  3. Step 3: Cross multiply
    976.48x = 1,347.67 × 556.75
  4. Step 4: Simplify right side
    976.48x = 750,315.27
  5. Step 5: Solve for x
    x = 750,315.27/976.48
  6. Step 6: Final answer
    x = 768.39

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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.