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Finding the Fourth Proportional to 697.50, 961.44 and 557.37

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Solution

The fourth proportional to 697.50, 961.44 and 557.37 is: 768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.50 : 961.44 = 557.37 : x
  2. Step 2: Convert to fraction form
    697.50/961.44 = 557.37/x
  3. Step 3: Cross multiply
    697.50x = 961.44 × 557.37
  4. Step 4: Simplify right side
    697.50x = 535,877.81
  5. Step 5: Solve for x
    x = 535,877.81/697.50
  6. Step 6: Final answer
    x = 768.28

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1.5x scale

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.