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Finding the Fourth Proportional to 647.99, 898.81 and 624.64

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Solution

The fourth proportional to 647.99, 898.81 and 624.64 is: 866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.99 : 898.81 = 624.64 : x
  2. Step 2: Convert to fraction form
    647.99/898.81 = 624.64/x
  3. Step 3: Cross multiply
    647.99x = 898.81 × 624.64
  4. Step 4: Simplify right side
    647.99x = 561,432.24
  5. Step 5: Solve for x
    x = 561,432.24/647.99
  6. Step 6: Final answer
    x = 866.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.