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Finding the Fourth Proportional to 622, 928.64 and 530.74

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Solution

The fourth proportional to 622, 928.64 and 530.74 is: 792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    622 : 928.64 = 530.74 : x
  2. Step 2: Convert to fraction form
    622/928.64 = 530.74/x
  3. Step 3: Cross multiply
    622x = 928.64 × 530.74
  4. Step 4: Simplify right side
    622x = 492,866.39
  5. Step 5: Solve for x
    x = 492,866.39/622
  6. Step 6: Final answer
    x = 792.39

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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.