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Finding the Fourth Proportional to 588.42, 878.52 and 530.10

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Solution

The fourth proportional to 588.42, 878.52 and 530.10 is: 791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.42 : 878.52 = 530.10 : x
  2. Step 2: Convert to fraction form
    588.42/878.52 = 530.10/x
  3. Step 3: Cross multiply
    588.42x = 878.52 × 530.10
  4. Step 4: Simplify right side
    588.42x = 465,703.45
  5. Step 5: Solve for x
    x = 465,703.45/588.42
  6. Step 6: Final answer
    x = 791.45

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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.