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Finding the Fourth Proportional to 558.18, 840.41 and 460.47

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Solution

The fourth proportional to 558.18, 840.41 and 460.47 is: 693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.18 : 840.41 = 460.47 : x
  2. Step 2: Convert to fraction form
    558.18/840.41 = 460.47/x
  3. Step 3: Cross multiply
    558.18x = 840.41 × 460.47
  4. Step 4: Simplify right side
    558.18x = 386,983.59
  5. Step 5: Solve for x
    x = 386,983.59/558.18
  6. Step 6: Final answer
    x = 693.30

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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.