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Finding the Fourth Proportional to 2,570.88, 3,856.32 and 623.08

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Solution

The fourth proportional to 2,570.88, 3,856.32 and 623.08 is: 934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.88 : 3,856.32 = 623.08 : x
  2. Step 2: Convert to fraction form
    2,570.88/3,856.32 = 623.08/x
  3. Step 3: Cross multiply
    2,570.88x = 3,856.32 × 623.08
  4. Step 4: Simplify right side
    2,570.88x = 2,402,795.87
  5. Step 5: Solve for x
    x = 2,402,795.87/2,570.88
  6. Step 6: Final answer
    x = 934.62

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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.