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Finding the Fourth Proportional to 1,089.86, 1,628.13 and 897.62

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Solution

The fourth proportional to 1,089.86, 1,628.13 and 897.62 is: 1,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.86 : 1,628.13 = 897.62 : x
  2. Step 2: Convert to fraction form
    1,089.86/1,628.13 = 897.62/x
  3. Step 3: Cross multiply
    1,089.86x = 1,628.13 × 897.62
  4. Step 4: Simplify right side
    1,089.86x = 1,461,437.56
  5. Step 5: Solve for x
    x = 1,461,437.56/1,089.86
  6. Step 6: Final answer
    x = 1,340.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.