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Finding the Fourth Proportional to 583.10, 801.07 and 521.74

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Solution

The fourth proportional to 583.10, 801.07 and 521.74 is: 716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.10 : 801.07 = 521.74 : x
  2. Step 2: Convert to fraction form
    583.10/801.07 = 521.74/x
  3. Step 3: Cross multiply
    583.10x = 801.07 × 521.74
  4. Step 4: Simplify right side
    583.10x = 417,946.26
  5. Step 5: Solve for x
    x = 417,946.26/583.10
  6. Step 6: Final answer
    x = 716.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.