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Finding the Fourth Proportional to 897.30, 1,345.95 and 693.09

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Solution

The fourth proportional to 897.30, 1,345.95 and 693.09 is: 1,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.30 : 1,345.95 = 693.09 : x
  2. Step 2: Convert to fraction form
    897.30/1,345.95 = 693.09/x
  3. Step 3: Cross multiply
    897.30x = 1,345.95 × 693.09
  4. Step 4: Simplify right side
    897.30x = 932,864.49
  5. Step 5: Solve for x
    x = 932,864.49/897.30
  6. Step 6: Final answer
    x = 1,039.64

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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.