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Finding the Fourth Proportional to 583.09, 869.73 and 530.54

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Solution

The fourth proportional to 583.09, 869.73 and 530.54 is: 791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.09 : 869.73 = 530.54 : x
  2. Step 2: Convert to fraction form
    583.09/869.73 = 530.54/x
  3. Step 3: Cross multiply
    583.09x = 869.73 × 530.54
  4. Step 4: Simplify right side
    583.09x = 461,423.75
  5. Step 5: Solve for x
    x = 461,423.75/583.09
  6. Step 6: Final answer
    x = 791.35

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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.