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Finding the Fourth Proportional to 582.64, 869.41 and 530.89

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Solution

The fourth proportional to 582.64, 869.41 and 530.89 is: 792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.64 : 869.41 = 530.89 : x
  2. Step 2: Convert to fraction form
    582.64/869.41 = 530.89/x
  3. Step 3: Cross multiply
    582.64x = 869.41 × 530.89
  4. Step 4: Simplify right side
    582.64x = 461,556.73
  5. Step 5: Solve for x
    x = 461,556.73/582.64
  6. Step 6: Final answer
    x = 792.19

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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.