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Finding the Fourth Proportional to 1,575.79, 2,362.87 and 709.63

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Solution

The fourth proportional to 1,575.79, 2,362.87 and 709.63 is: 1,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.79 : 2,362.87 = 709.63 : x
  2. Step 2: Convert to fraction form
    1,575.79/2,362.87 = 709.63/x
  3. Step 3: Cross multiply
    1,575.79x = 2,362.87 × 709.63
  4. Step 4: Simplify right side
    1,575.79x = 1,676,749.85
  5. Step 5: Solve for x
    x = 1,676,749.85/1,575.79
  6. Step 6: Final answer
    x = 1,064.07

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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.