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Finding the Fourth Proportional to 1,026.24, 1,539.36 and 377

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Solution

The fourth proportional to 1,026.24, 1,539.36 and 377 is: 565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.24 : 1,539.36 = 377 : x
  2. Step 2: Convert to fraction form
    1,026.24/1,539.36 = 377/x
  3. Step 3: Cross multiply
    1,026.24x = 1,539.36 × 377
  4. Step 4: Simplify right side
    1,026.24x = 580,338.72
  5. Step 5: Solve for x
    x = 580,338.72/1,026.24
  6. Step 6: Final answer
    x = 565.50

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Half scale
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Double scale
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Similar ratio
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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.