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Finding the Fourth Proportional to 1,068.25, 1,602.51 and 298.75

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Solution

The fourth proportional to 1,068.25, 1,602.51 and 298.75 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.25 : 1,602.51 = 298.75 : x
  2. Step 2: Convert to fraction form
    1,068.25/1,602.51 = 298.75/x
  3. Step 3: Cross multiply
    1,068.25x = 1,602.51 × 298.75
  4. Step 4: Simplify right side
    1,068.25x = 478,749.86
  5. Step 5: Solve for x
    x = 478,749.86/1,068.25
  6. Step 6: Final answer
    x = 448.16

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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.