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Finding the Fourth Proportional to 1,228.23, 1,695.02 and 697.15

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Solution

The fourth proportional to 1,228.23, 1,695.02 and 697.15 is: 962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.23 : 1,695.02 = 697.15 : x
  2. Step 2: Convert to fraction form
    1,228.23/1,695.02 = 697.15/x
  3. Step 3: Cross multiply
    1,228.23x = 1,695.02 × 697.15
  4. Step 4: Simplify right side
    1,228.23x = 1,181,683.19
  5. Step 5: Solve for x
    x = 1,181,683.19/1,228.23
  6. Step 6: Final answer
    x = 962.10

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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.