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Finding the Fourth Proportional to 1,026.63, 1,539.72 and 296.05

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Solution

The fourth proportional to 1,026.63, 1,539.72 and 296.05 is: 444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.63 : 1,539.72 = 296.05 : x
  2. Step 2: Convert to fraction form
    1,026.63/1,539.72 = 296.05/x
  3. Step 3: Cross multiply
    1,026.63x = 1,539.72 × 296.05
  4. Step 4: Simplify right side
    1,026.63x = 455,834.11
  5. Step 5: Solve for x
    x = 455,834.11/1,026.63
  6. Step 6: Final answer
    x = 444.01

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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.