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Finding the Fourth Proportional to 487.83, 671.49 and 354.84

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Solution

The fourth proportional to 487.83, 671.49 and 354.84 is: 488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.83 : 671.49 = 354.84 : x
  2. Step 2: Convert to fraction form
    487.83/671.49 = 354.84/x
  3. Step 3: Cross multiply
    487.83x = 671.49 × 354.84
  4. Step 4: Simplify right side
    487.83x = 238,271.51
  5. Step 5: Solve for x
    x = 238,271.51/487.83
  6. Step 6: Final answer
    x = 488.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.