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Finding the Fourth Proportional to 897.21, 1,346.60 and 623.50

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Solution

The fourth proportional to 897.21, 1,346.60 and 623.50 is: 935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.21 : 1,346.60 = 623.50 : x
  2. Step 2: Convert to fraction form
    897.21/1,346.60 = 623.50/x
  3. Step 3: Cross multiply
    897.21x = 1,346.60 × 623.50
  4. Step 4: Simplify right side
    897.21x = 839,605.10
  5. Step 5: Solve for x
    x = 839,605.10/897.21
  6. Step 6: Final answer
    x = 935.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.