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Finding the Fourth Proportional to 1,223.99, 1,689.06 and 692.88

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Solution

The fourth proportional to 1,223.99, 1,689.06 and 692.88 is: 956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.99 : 1,689.06 = 692.88 : x
  2. Step 2: Convert to fraction form
    1,223.99/1,689.06 = 692.88/x
  3. Step 3: Cross multiply
    1,223.99x = 1,689.06 × 692.88
  4. Step 4: Simplify right side
    1,223.99x = 1,170,315.89
  5. Step 5: Solve for x
    x = 1,170,315.89/1,223.99
  6. Step 6: Final answer
    x = 956.15

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1.5x scale

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.