Home / 1,538.06-2,307.18-442.40

Finding the Fourth Proportional to 1,538.06, 2,307.18 and 442.40

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Solution

The fourth proportional to 1,538.06, 2,307.18 and 442.40 is: 663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.06 : 2,307.18 = 442.40 : x
  2. Step 2: Convert to fraction form
    1,538.06/2,307.18 = 442.40/x
  3. Step 3: Cross multiply
    1,538.06x = 2,307.18 × 442.40
  4. Step 4: Simplify right side
    1,538.06x = 1,020,696.43
  5. Step 5: Solve for x
    x = 1,020,696.43/1,538.06
  6. Step 6: Final answer
    x = 663.63

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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.