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Finding the Fourth Proportional to 420.94, 583.15 and 410.86

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Solution

The fourth proportional to 420.94, 583.15 and 410.86 is: 569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.94 : 583.15 = 410.86 : x
  2. Step 2: Convert to fraction form
    420.94/583.15 = 410.86/x
  3. Step 3: Cross multiply
    420.94x = 583.15 × 410.86
  4. Step 4: Simplify right side
    420.94x = 239,593.01
  5. Step 5: Solve for x
    x = 239,593.01/420.94
  6. Step 6: Final answer
    x = 569.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.