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Finding the Fourth Proportional to 1,168.99, 1,613.54 and 697.21

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Solution

The fourth proportional to 1,168.99, 1,613.54 and 697.21 is: 962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.99 : 1,613.54 = 697.21 : x
  2. Step 2: Convert to fraction form
    1,168.99/1,613.54 = 697.21/x
  3. Step 3: Cross multiply
    1,168.99x = 1,613.54 × 697.21
  4. Step 4: Simplify right side
    1,168.99x = 1,124,972.74
  5. Step 5: Solve for x
    x = 1,124,972.74/1,168.99
  6. Step 6: Final answer
    x = 962.35

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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.