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Finding the Fourth Proportional to 594.02, 889.76 and 448.14

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Solution

The fourth proportional to 594.02, 889.76 and 448.14 is: 671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.02 : 889.76 = 448.14 : x
  2. Step 2: Convert to fraction form
    594.02/889.76 = 448.14/x
  3. Step 3: Cross multiply
    594.02x = 889.76 × 448.14
  4. Step 4: Simplify right side
    594.02x = 398,737.05
  5. Step 5: Solve for x
    x = 398,737.05/594.02
  6. Step 6: Final answer
    x = 671.25

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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.