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Finding the Fourth Proportional to 1,284.64, 1,927.88 and 554.74

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Solution

The fourth proportional to 1,284.64, 1,927.88 and 554.74 is: 832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.64 : 1,927.88 = 554.74 : x
  2. Step 2: Convert to fraction form
    1,284.64/1,927.88 = 554.74/x
  3. Step 3: Cross multiply
    1,284.64x = 1,927.88 × 554.74
  4. Step 4: Simplify right side
    1,284.64x = 1,069,466.64
  5. Step 5: Solve for x
    x = 1,069,466.64/1,284.64
  6. Step 6: Final answer
    x = 832.50

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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.