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Finding the Fourth Proportional to 1,021.37, 1,529.01 and 655.65

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Solution

The fourth proportional to 1,021.37, 1,529.01 and 655.65 is: 981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.37 : 1,529.01 = 655.65 : x
  2. Step 2: Convert to fraction form
    1,021.37/1,529.01 = 655.65/x
  3. Step 3: Cross multiply
    1,021.37x = 1,529.01 × 655.65
  4. Step 4: Simplify right side
    1,021.37x = 1,002,495.41
  5. Step 5: Solve for x
    x = 1,002,495.41/1,021.37
  6. Step 6: Final answer
    x = 981.53

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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.