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Finding the Fourth Proportional to 893.76, 1,340.16 and 431.52

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Solution

The fourth proportional to 893.76, 1,340.16 and 431.52 is: 647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.76 : 1,340.16 = 431.52 : x
  2. Step 2: Convert to fraction form
    893.76/1,340.16 = 431.52/x
  3. Step 3: Cross multiply
    893.76x = 1,340.16 × 431.52
  4. Step 4: Simplify right side
    893.76x = 578,305.84
  5. Step 5: Solve for x
    x = 578,305.84/893.76
  6. Step 6: Final answer
    x = 647.05

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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.