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Finding the Fourth Proportional to 1,569.87, 2,354.98 and 692.00

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Solution

The fourth proportional to 1,569.87, 2,354.98 and 692.00 is: 1,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.87 : 2,354.98 = 692.00 : x
  2. Step 2: Convert to fraction form
    1,569.87/2,354.98 = 692.00/x
  3. Step 3: Cross multiply
    1,569.87x = 2,354.98 × 692.00
  4. Step 4: Simplify right side
    1,569.87x = 1,629,634.39
  5. Step 5: Solve for x
    x = 1,629,634.39/1,569.87
  6. Step 6: Final answer
    x = 1,038.07

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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.