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Finding the Fourth Proportional to 557.50, 838.15 and 455.53

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Solution

The fourth proportional to 557.50, 838.15 and 455.53 is: 684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.50 : 838.15 = 455.53 : x
  2. Step 2: Convert to fraction form
    557.50/838.15 = 455.53/x
  3. Step 3: Cross multiply
    557.50x = 838.15 × 455.53
  4. Step 4: Simplify right side
    557.50x = 381,798.28
  5. Step 5: Solve for x
    x = 381,798.28/557.50
  6. Step 6: Final answer
    x = 684.84

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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.