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Finding the Fourth Proportional to 1,230.87, 1,698.51 and 671.34

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Solution

The fourth proportional to 1,230.87, 1,698.51 and 671.34 is: 926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.87 : 1,698.51 = 671.34 : x
  2. Step 2: Convert to fraction form
    1,230.87/1,698.51 = 671.34/x
  3. Step 3: Cross multiply
    1,230.87x = 1,698.51 × 671.34
  4. Step 4: Simplify right side
    1,230.87x = 1,140,277.70
  5. Step 5: Solve for x
    x = 1,140,277.70/1,230.87
  6. Step 6: Final answer
    x = 926.40

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.