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Finding the Fourth Proportional to 710.94, 1,065.60 and 321.24

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Solution

The fourth proportional to 710.94, 1,065.60 and 321.24 is: 481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.94 : 1,065.60 = 321.24 : x
  2. Step 2: Convert to fraction form
    710.94/1,065.60 = 321.24/x
  3. Step 3: Cross multiply
    710.94x = 1,065.60 × 321.24
  4. Step 4: Simplify right side
    710.94x = 342,313.34
  5. Step 5: Solve for x
    x = 342,313.34/710.94
  6. Step 6: Final answer
    x = 481.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.