Home / 1,564.18-2,346.27-686.95

Finding the Fourth Proportional to 1,564.18, 2,346.27 and 686.95

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Solution

The fourth proportional to 1,564.18, 2,346.27 and 686.95 is: 1,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.18 : 2,346.27 = 686.95 : x
  2. Step 2: Convert to fraction form
    1,564.18/2,346.27 = 686.95/x
  3. Step 3: Cross multiply
    1,564.18x = 2,346.27 × 686.95
  4. Step 4: Simplify right side
    1,564.18x = 1,611,770.18
  5. Step 5: Solve for x
    x = 1,611,770.18/1,564.18
  6. Step 6: Final answer
    x = 1,030.43

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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.