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Finding the Fourth Proportional to 583.70, 840.42 and 583.70

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Solution

The fourth proportional to 583.70, 840.42 and 583.70 is: 840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 840.42 = 583.70 : x
  2. Step 2: Convert to fraction form
    583.70/840.42 = 583.70/x
  3. Step 3: Cross multiply
    583.70x = 840.42 × 583.70
  4. Step 4: Simplify right side
    583.70x = 490,553.15
  5. Step 5: Solve for x
    x = 490,553.15/583.70
  6. Step 6: Final answer
    x = 840.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.