Home / 1,564.06-2,346.08-590.44

Finding the Fourth Proportional to 1,564.06, 2,346.08 and 590.44

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Solution

The fourth proportional to 1,564.06, 2,346.08 and 590.44 is: 885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.06 : 2,346.08 = 590.44 : x
  2. Step 2: Convert to fraction form
    1,564.06/2,346.08 = 590.44/x
  3. Step 3: Cross multiply
    1,564.06x = 2,346.08 × 590.44
  4. Step 4: Simplify right side
    1,564.06x = 1,385,219.48
  5. Step 5: Solve for x
    x = 1,385,219.48/1,564.06
  6. Step 6: Final answer
    x = 885.66

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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.