Home / 1,045.10-1,566.09-459.56

Finding the Fourth Proportional to 1,045.10, 1,566.09 and 459.56

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Solution

The fourth proportional to 1,045.10, 1,566.09 and 459.56 is: 688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.10 : 1,566.09 = 459.56 : x
  2. Step 2: Convert to fraction form
    1,045.10/1,566.09 = 459.56/x
  3. Step 3: Cross multiply
    1,045.10x = 1,566.09 × 459.56
  4. Step 4: Simplify right side
    1,045.10x = 719,704.49
  5. Step 5: Solve for x
    x = 719,704.49/1,045.10
  6. Step 6: Final answer
    x = 688.65

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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.