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Finding the Fourth Proportional to 583.60, 805.08 and 497.20

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Solution

The fourth proportional to 583.60, 805.08 and 497.20 is: 685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.60 : 805.08 = 497.20 : x
  2. Step 2: Convert to fraction form
    583.60/805.08 = 497.20/x
  3. Step 3: Cross multiply
    583.60x = 805.08 × 497.20
  4. Step 4: Simplify right side
    583.60x = 400,285.78
  5. Step 5: Solve for x
    x = 400,285.78/583.60
  6. Step 6: Final answer
    x = 685.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.