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Finding the Fourth Proportional to 1,125.88, 1,688.22 and 577.84

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Solution

The fourth proportional to 1,125.88, 1,688.22 and 577.84 is: 866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.88 : 1,688.22 = 577.84 : x
  2. Step 2: Convert to fraction form
    1,125.88/1,688.22 = 577.84/x
  3. Step 3: Cross multiply
    1,125.88x = 1,688.22 × 577.84
  4. Step 4: Simplify right side
    1,125.88x = 975,521.04
  5. Step 5: Solve for x
    x = 975,521.04/1,125.88
  6. Step 6: Final answer
    x = 866.45

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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.