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Finding the Fourth Proportional to 558.60, 837.96 and 315.40

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Solution

The fourth proportional to 558.60, 837.96 and 315.40 is: 473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.60 : 837.96 = 315.40 : x
  2. Step 2: Convert to fraction form
    558.60/837.96 = 315.40/x
  3. Step 3: Cross multiply
    558.60x = 837.96 × 315.40
  4. Step 4: Simplify right side
    558.60x = 264,292.58
  5. Step 5: Solve for x
    x = 264,292.58/558.60
  6. Step 6: Final answer
    x = 473.13

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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.