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Finding the Fourth Proportional to 583.79, 870.58 and 551.43

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Solution

The fourth proportional to 583.79, 870.58 and 551.43 is: 822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.79 : 870.58 = 551.43 : x
  2. Step 2: Convert to fraction form
    583.79/870.58 = 551.43/x
  3. Step 3: Cross multiply
    583.79x = 870.58 × 551.43
  4. Step 4: Simplify right side
    583.79x = 480,064.62
  5. Step 5: Solve for x
    x = 480,064.62/583.79
  6. Step 6: Final answer
    x = 822.33

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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.