Home / 1,075.10-1,609.40-972.43

Finding the Fourth Proportional to 1,075.10, 1,609.40 and 972.43

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Solution

The fourth proportional to 1,075.10, 1,609.40 and 972.43 is: 1,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.10 : 1,609.40 = 972.43 : x
  2. Step 2: Convert to fraction form
    1,075.10/1,609.40 = 972.43/x
  3. Step 3: Cross multiply
    1,075.10x = 1,609.40 × 972.43
  4. Step 4: Simplify right side
    1,075.10x = 1,565,027.25
  5. Step 5: Solve for x
    x = 1,565,027.25/1,075.10
  6. Step 6: Final answer
    x = 1,455.71

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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.