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Finding the Fourth Proportional to 1,151.92, 1,589.15 and 778.77

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Solution

The fourth proportional to 1,151.92, 1,589.15 and 778.77 is: 1,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.92 : 1,589.15 = 778.77 : x
  2. Step 2: Convert to fraction form
    1,151.92/1,589.15 = 778.77/x
  3. Step 3: Cross multiply
    1,151.92x = 1,589.15 × 778.77
  4. Step 4: Simplify right side
    1,151.92x = 1,237,574.44
  5. Step 5: Solve for x
    x = 1,237,574.44/1,151.92
  6. Step 6: Final answer
    x = 1,074.36

Related Problems

Find fourth proportional to 575.96, 794.57 and 389.38
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.