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Finding the Fourth Proportional to 1,284, 1,925.83 and 503.47

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Solution

The fourth proportional to 1,284, 1,925.83 and 503.47 is: 755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284 : 1,925.83 = 503.47 : x
  2. Step 2: Convert to fraction form
    1,284/1,925.83 = 503.47/x
  3. Step 3: Cross multiply
    1,284x = 1,925.83 × 503.47
  4. Step 4: Simplify right side
    1,284x = 969,597.63
  5. Step 5: Solve for x
    x = 969,597.63/1,284
  6. Step 6: Final answer
    x = 755.14

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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.