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Finding the Fourth Proportional to 622.54, 928.85 and 530.20

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Solution

The fourth proportional to 622.54, 928.85 and 530.20 is: 791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.54 : 928.85 = 530.20 : x
  2. Step 2: Convert to fraction form
    622.54/928.85 = 530.20/x
  3. Step 3: Cross multiply
    622.54x = 928.85 × 530.20
  4. Step 4: Simplify right side
    622.54x = 492,476.27
  5. Step 5: Solve for x
    x = 492,476.27/622.54
  6. Step 6: Final answer
    x = 791.08

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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.