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Finding the Fourth Proportional to 787.47, 1,086.74 and 438.16

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Solution

The fourth proportional to 787.47, 1,086.74 and 438.16 is: 604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.47 : 1,086.74 = 438.16 : x
  2. Step 2: Convert to fraction form
    787.47/1,086.74 = 438.16/x
  3. Step 3: Cross multiply
    787.47x = 1,086.74 × 438.16
  4. Step 4: Simplify right side
    787.47x = 476,166.00
  5. Step 5: Solve for x
    x = 476,166.00/787.47
  6. Step 6: Final answer
    x = 604.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.