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Finding the Fourth Proportional to 840.96, 1,158.72 and 564.48

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Solution

The fourth proportional to 840.96, 1,158.72 and 564.48 is: 777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.96 : 1,158.72 = 564.48 : x
  2. Step 2: Convert to fraction form
    840.96/1,158.72 = 564.48/x
  3. Step 3: Cross multiply
    840.96x = 1,158.72 × 564.48
  4. Step 4: Simplify right side
    840.96x = 654,074.27
  5. Step 5: Solve for x
    x = 654,074.27/840.96
  6. Step 6: Final answer
    x = 777.77

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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.