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Finding the Fourth Proportional to 583.39, 870.22 and 497.26

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Solution

The fourth proportional to 583.39, 870.22 and 497.26 is: 741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.39 : 870.22 = 497.26 : x
  2. Step 2: Convert to fraction form
    583.39/870.22 = 497.26/x
  3. Step 3: Cross multiply
    583.39x = 870.22 × 497.26
  4. Step 4: Simplify right side
    583.39x = 432,725.60
  5. Step 5: Solve for x
    x = 432,725.60/583.39
  6. Step 6: Final answer
    x = 741.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.