Home / 1,538.07-2,307.50-442.52

Finding the Fourth Proportional to 1,538.07, 2,307.50 and 442.52

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Solution

The fourth proportional to 1,538.07, 2,307.50 and 442.52 is: 663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.07 : 2,307.50 = 442.52 : x
  2. Step 2: Convert to fraction form
    1,538.07/2,307.50 = 442.52/x
  3. Step 3: Cross multiply
    1,538.07x = 2,307.50 × 442.52
  4. Step 4: Simplify right side
    1,538.07x = 1,021,114.90
  5. Step 5: Solve for x
    x = 1,021,114.90/1,538.07
  6. Step 6: Final answer
    x = 663.89

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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.