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Finding the Fourth Proportional to 622.74, 928.85 and 530.40

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Solution

The fourth proportional to 622.74, 928.85 and 530.40 is: 791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.74 : 928.85 = 530.40 : x
  2. Step 2: Convert to fraction form
    622.74/928.85 = 530.40/x
  3. Step 3: Cross multiply
    622.74x = 928.85 × 530.40
  4. Step 4: Simplify right side
    622.74x = 492,662.04
  5. Step 5: Solve for x
    x = 492,662.04/622.74
  6. Step 6: Final answer
    x = 791.12

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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.