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Finding the Fourth Proportional to 438.77, 661.08 and 397.13

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Solution

The fourth proportional to 438.77, 661.08 and 397.13 is: 598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.77 : 661.08 = 397.13 : x
  2. Step 2: Convert to fraction form
    438.77/661.08 = 397.13/x
  3. Step 3: Cross multiply
    438.77x = 661.08 × 397.13
  4. Step 4: Simplify right side
    438.77x = 262,531.40
  5. Step 5: Solve for x
    x = 262,531.40/438.77
  6. Step 6: Final answer
    x = 598.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.