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Finding the Fourth Proportional to 1,123.99, 1,686.00 and 465.77

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Solution

The fourth proportional to 1,123.99, 1,686.00 and 465.77 is: 698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.99 : 1,686.00 = 465.77 : x
  2. Step 2: Convert to fraction form
    1,123.99/1,686.00 = 465.77/x
  3. Step 3: Cross multiply
    1,123.99x = 1,686.00 × 465.77
  4. Step 4: Simplify right side
    1,123.99x = 785,282.08
  5. Step 5: Solve for x
    x = 785,282.08/1,123.99
  6. Step 6: Final answer
    x = 698.65

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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.