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Finding the Fourth Proportional to 628.02, 866.70 and 472.50

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Solution

The fourth proportional to 628.02, 866.70 and 472.50 is: 652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.02 : 866.70 = 472.50 : x
  2. Step 2: Convert to fraction form
    628.02/866.70 = 472.50/x
  3. Step 3: Cross multiply
    628.02x = 866.70 × 472.50
  4. Step 4: Simplify right side
    628.02x = 409,515.75
  5. Step 5: Solve for x
    x = 409,515.75/628.02
  6. Step 6: Final answer
    x = 652.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.