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Finding the Fourth Proportional to 697.53, 962.63 and 417.81

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Solution

The fourth proportional to 697.53, 962.63 and 417.81 is: 576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.53 : 962.63 = 417.81 : x
  2. Step 2: Convert to fraction form
    697.53/962.63 = 417.81/x
  3. Step 3: Cross multiply
    697.53x = 962.63 × 417.81
  4. Step 4: Simplify right side
    697.53x = 402,196.44
  5. Step 5: Solve for x
    x = 402,196.44/697.53
  6. Step 6: Final answer
    x = 576.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.