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Finding the Fourth Proportional to 697.30, 962.06 and 398.53

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Solution

The fourth proportional to 697.30, 962.06 and 398.53 is: 549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.30 : 962.06 = 398.53 : x
  2. Step 2: Convert to fraction form
    697.30/962.06 = 398.53/x
  3. Step 3: Cross multiply
    697.30x = 962.06 × 398.53
  4. Step 4: Simplify right side
    697.30x = 383,411.22
  5. Step 5: Solve for x
    x = 383,411.22/697.30
  6. Step 6: Final answer
    x = 549.85

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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.