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Finding the Fourth Proportional to 557.84, 837.21 and 284.01

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Solution

The fourth proportional to 557.84, 837.21 and 284.01 is: 426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.84 : 837.21 = 284.01 : x
  2. Step 2: Convert to fraction form
    557.84/837.21 = 284.01/x
  3. Step 3: Cross multiply
    557.84x = 837.21 × 284.01
  4. Step 4: Simplify right side
    557.84x = 237,773.14
  5. Step 5: Solve for x
    x = 237,773.14/557.84
  6. Step 6: Final answer
    x = 426.24

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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.