Home / 1,564.15-2,347.31-591.07

Finding the Fourth Proportional to 1,564.15, 2,347.31 and 591.07

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Solution

The fourth proportional to 1,564.15, 2,347.31 and 591.07 is: 887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.15 : 2,347.31 = 591.07 : x
  2. Step 2: Convert to fraction form
    1,564.15/2,347.31 = 591.07/x
  3. Step 3: Cross multiply
    1,564.15x = 2,347.31 × 591.07
  4. Step 4: Simplify right side
    1,564.15x = 1,387,424.52
  5. Step 5: Solve for x
    x = 1,387,424.52/1,564.15
  6. Step 6: Final answer
    x = 887.02

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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.