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Finding the Fourth Proportional to 1,021.49, 1,532.36 and 473.79

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Solution

The fourth proportional to 1,021.49, 1,532.36 and 473.79 is: 710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.49 : 1,532.36 = 473.79 : x
  2. Step 2: Convert to fraction form
    1,021.49/1,532.36 = 473.79/x
  3. Step 3: Cross multiply
    1,021.49x = 1,532.36 × 473.79
  4. Step 4: Simplify right side
    1,021.49x = 726,018.03
  5. Step 5: Solve for x
    x = 726,018.03/1,021.49
  6. Step 6: Final answer
    x = 710.75

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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.