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Finding the Fourth Proportional to 1,223.29, 1,690.50 and 909.01

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Solution

The fourth proportional to 1,223.29, 1,690.50 and 909.01 is: 1,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.29 : 1,690.50 = 909.01 : x
  2. Step 2: Convert to fraction form
    1,223.29/1,690.50 = 909.01/x
  3. Step 3: Cross multiply
    1,223.29x = 1,690.50 × 909.01
  4. Step 4: Simplify right side
    1,223.29x = 1,536,681.41
  5. Step 5: Solve for x
    x = 1,536,681.41/1,223.29
  6. Step 6: Final answer
    x = 1,256.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.