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Finding the Fourth Proportional to 697.64, 963.57 and 502.02

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Solution

The fourth proportional to 697.64, 963.57 and 502.02 is: 693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.64 : 963.57 = 502.02 : x
  2. Step 2: Convert to fraction form
    697.64/963.57 = 502.02/x
  3. Step 3: Cross multiply
    697.64x = 963.57 × 502.02
  4. Step 4: Simplify right side
    697.64x = 483,731.41
  5. Step 5: Solve for x
    x = 483,731.41/697.64
  6. Step 6: Final answer
    x = 693.39

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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.