Home / 1,564.56-2,342.64-1,075.20

Finding the Fourth Proportional to 1,564.56, 2,342.64 and 1,075.20

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Solution

The fourth proportional to 1,564.56, 2,342.64 and 1,075.20 is: 1,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.56 : 2,342.64 = 1,075.20 : x
  2. Step 2: Convert to fraction form
    1,564.56/2,342.64 = 1,075.20/x
  3. Step 3: Cross multiply
    1,564.56x = 2,342.64 × 1,075.20
  4. Step 4: Simplify right side
    1,564.56x = 2,518,806.53
  5. Step 5: Solve for x
    x = 2,518,806.53/1,564.56
  6. Step 6: Final answer
    x = 1,609.91

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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.