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Finding the Fourth Proportional to 1,124.61, 1,688.13 and 692.88

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Solution

The fourth proportional to 1,124.61, 1,688.13 and 692.88 is: 1,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.61 : 1,688.13 = 692.88 : x
  2. Step 2: Convert to fraction form
    1,124.61/1,688.13 = 692.88/x
  3. Step 3: Cross multiply
    1,124.61x = 1,688.13 × 692.88
  4. Step 4: Simplify right side
    1,124.61x = 1,169,671.51
  5. Step 5: Solve for x
    x = 1,169,671.51/1,124.61
  6. Step 6: Final answer
    x = 1,040.07

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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.