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Finding the Fourth Proportional to 1,020.99, 1,409.05 and 572.91

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Solution

The fourth proportional to 1,020.99, 1,409.05 and 572.91 is: 790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.99 : 1,409.05 = 572.91 : x
  2. Step 2: Convert to fraction form
    1,020.99/1,409.05 = 572.91/x
  3. Step 3: Cross multiply
    1,020.99x = 1,409.05 × 572.91
  4. Step 4: Simplify right side
    1,020.99x = 807,262.93
  5. Step 5: Solve for x
    x = 807,262.93/1,020.99
  6. Step 6: Final answer
    x = 790.67

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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.