Home / 1,537.55-2,307.37-563.75

Finding the Fourth Proportional to 1,537.55, 2,307.37 and 563.75

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Solution

The fourth proportional to 1,537.55, 2,307.37 and 563.75 is: 846.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.55 : 2,307.37 = 563.75 : x
  2. Step 2: Convert to fraction form
    1,537.55/2,307.37 = 563.75/x
  3. Step 3: Cross multiply
    1,537.55x = 2,307.37 × 563.75
  4. Step 4: Simplify right side
    1,537.55x = 1,300,779.84
  5. Step 5: Solve for x
    x = 1,300,779.84/1,537.55
  6. Step 6: Final answer
    x = 846.01

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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.