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Finding the Fourth Proportional to 1,063.01, 1,593.25 and 446.50

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Solution

The fourth proportional to 1,063.01, 1,593.25 and 446.50 is: 669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.01 : 1,593.25 = 446.50 : x
  2. Step 2: Convert to fraction form
    1,063.01/1,593.25 = 446.50/x
  3. Step 3: Cross multiply
    1,063.01x = 1,593.25 × 446.50
  4. Step 4: Simplify right side
    1,063.01x = 711,386.13
  5. Step 5: Solve for x
    x = 711,386.13/1,063.01
  6. Step 6: Final answer
    x = 669.22

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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.