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Finding the Fourth Proportional to 1,127.61, 1,690.47 and 397.67

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Solution

The fourth proportional to 1,127.61, 1,690.47 and 397.67 is: 596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.61 : 1,690.47 = 397.67 : x
  2. Step 2: Convert to fraction form
    1,127.61/1,690.47 = 397.67/x
  3. Step 3: Cross multiply
    1,127.61x = 1,690.47 × 397.67
  4. Step 4: Simplify right side
    1,127.61x = 672,240.75
  5. Step 5: Solve for x
    x = 672,240.75/1,127.61
  6. Step 6: Final answer
    x = 596.16

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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.