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Finding the Fourth Proportional to 1,065.23, 1,597.34 and 397.67

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Solution

The fourth proportional to 1,065.23, 1,597.34 and 397.67 is: 596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.23 : 1,597.34 = 397.67 : x
  2. Step 2: Convert to fraction form
    1,065.23/1,597.34 = 397.67/x
  3. Step 3: Cross multiply
    1,065.23x = 1,597.34 × 397.67
  4. Step 4: Simplify right side
    1,065.23x = 635,210.21
  5. Step 5: Solve for x
    x = 635,210.21/1,065.23
  6. Step 6: Final answer
    x = 596.32

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Half scale
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Double scale
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1.5x scale

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.