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Finding the Fourth Proportional to 628.04, 938.09 and 530.84

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Solution

The fourth proportional to 628.04, 938.09 and 530.84 is: 792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.04 : 938.09 = 530.84 : x
  2. Step 2: Convert to fraction form
    628.04/938.09 = 530.84/x
  3. Step 3: Cross multiply
    628.04x = 938.09 × 530.84
  4. Step 4: Simplify right side
    628.04x = 497,975.70
  5. Step 5: Solve for x
    x = 497,975.70/628.04
  6. Step 6: Final answer
    x = 792.90

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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.