Home / 1,538.09-2,307.79-716.55

Finding the Fourth Proportional to 1,538.09, 2,307.79 and 716.55

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Solution

The fourth proportional to 1,538.09, 2,307.79 and 716.55 is: 1,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.09 : 2,307.79 = 716.55 : x
  2. Step 2: Convert to fraction form
    1,538.09/2,307.79 = 716.55/x
  3. Step 3: Cross multiply
    1,538.09x = 2,307.79 × 716.55
  4. Step 4: Simplify right side
    1,538.09x = 1,653,639.17
  5. Step 5: Solve for x
    x = 1,653,639.17/1,538.09
  6. Step 6: Final answer
    x = 1,075.13

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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.