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Finding the Fourth Proportional to 698.03, 962.50 and 477.10

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Solution

The fourth proportional to 698.03, 962.50 and 477.10 is: 657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.03 : 962.50 = 477.10 : x
  2. Step 2: Convert to fraction form
    698.03/962.50 = 477.10/x
  3. Step 3: Cross multiply
    698.03x = 962.50 × 477.10
  4. Step 4: Simplify right side
    698.03x = 459,208.75
  5. Step 5: Solve for x
    x = 459,208.75/698.03
  6. Step 6: Final answer
    x = 657.86

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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.