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Finding the Fourth Proportional to 1,176.75, 1,624.32 and 711

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Solution

The fourth proportional to 1,176.75, 1,624.32 and 711 is: 981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.75 : 1,624.32 = 711 : x
  2. Step 2: Convert to fraction form
    1,176.75/1,624.32 = 711/x
  3. Step 3: Cross multiply
    1,176.75x = 1,624.32 × 711
  4. Step 4: Simplify right side
    1,176.75x = 1,154,891.52
  5. Step 5: Solve for x
    x = 1,154,891.52/1,176.75
  6. Step 6: Final answer
    x = 981.42

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Double scale
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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.