Home / 1,538.63-2,307.95-384.38

Finding the Fourth Proportional to 1,538.63, 2,307.95 and 384.38

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Solution

The fourth proportional to 1,538.63, 2,307.95 and 384.38 is: 576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.63 : 2,307.95 = 384.38 : x
  2. Step 2: Convert to fraction form
    1,538.63/2,307.95 = 384.38/x
  3. Step 3: Cross multiply
    1,538.63x = 2,307.95 × 384.38
  4. Step 4: Simplify right side
    1,538.63x = 887,129.82
  5. Step 5: Solve for x
    x = 887,129.82/1,538.63
  6. Step 6: Final answer
    x = 576.57

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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.