Home / 1,538.06-2,307.10-563.64

Finding the Fourth Proportional to 1,538.06, 2,307.10 and 563.64

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Solution

The fourth proportional to 1,538.06, 2,307.10 and 563.64 is: 845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.06 : 2,307.10 = 563.64 : x
  2. Step 2: Convert to fraction form
    1,538.06/2,307.10 = 563.64/x
  3. Step 3: Cross multiply
    1,538.06x = 2,307.10 × 563.64
  4. Step 4: Simplify right side
    1,538.06x = 1,300,373.84
  5. Step 5: Solve for x
    x = 1,300,373.84/1,538.06
  6. Step 6: Final answer
    x = 845.46

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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.