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Finding the Fourth Proportional to 628.60, 863.23 and 530.20

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Solution

The fourth proportional to 628.60, 863.23 and 530.20 is: 728.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.60 : 863.23 = 530.20 : x
  2. Step 2: Convert to fraction form
    628.60/863.23 = 530.20/x
  3. Step 3: Cross multiply
    628.60x = 863.23 × 530.20
  4. Step 4: Simplify right side
    628.60x = 457,684.55
  5. Step 5: Solve for x
    x = 457,684.55/628.60
  6. Step 6: Final answer
    x = 728.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.