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Finding the Fourth Proportional to 1,577.36, 2,176.76 and 878.76

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Solution

The fourth proportional to 1,577.36, 2,176.76 and 878.76 is: 1,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.36 : 2,176.76 = 878.76 : x
  2. Step 2: Convert to fraction form
    1,577.36/2,176.76 = 878.76/x
  3. Step 3: Cross multiply
    1,577.36x = 2,176.76 × 878.76
  4. Step 4: Simplify right side
    1,577.36x = 1,912,849.62
  5. Step 5: Solve for x
    x = 1,912,849.62/1,577.36
  6. Step 6: Final answer
    x = 1,212.69

Related Problems

Find fourth proportional to 788.68, 1,088.38 and 439.38
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.