Home / 1,564.17-2,346.22-394.17

Finding the Fourth Proportional to 1,564.17, 2,346.22 and 394.17

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Solution

The fourth proportional to 1,564.17, 2,346.22 and 394.17 is: 591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.17 : 2,346.22 = 394.17 : x
  2. Step 2: Convert to fraction form
    1,564.17/2,346.22 = 394.17/x
  3. Step 3: Cross multiply
    1,564.17x = 2,346.22 × 394.17
  4. Step 4: Simplify right side
    1,564.17x = 924,809.54
  5. Step 5: Solve for x
    x = 924,809.54/1,564.17
  6. Step 6: Final answer
    x = 591.25

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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.