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Finding the Fourth Proportional to 1,057.99, 1,586.93 and 472.63

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Solution

The fourth proportional to 1,057.99, 1,586.93 and 472.63 is: 708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.99 : 1,586.93 = 472.63 : x
  2. Step 2: Convert to fraction form
    1,057.99/1,586.93 = 472.63/x
  3. Step 3: Cross multiply
    1,057.99x = 1,586.93 × 472.63
  4. Step 4: Simplify right side
    1,057.99x = 750,030.73
  5. Step 5: Solve for x
    x = 750,030.73/1,057.99
  6. Step 6: Final answer
    x = 708.92

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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.