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Finding the Fourth Proportional to 787.03, 1,086.51 and 507.43

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Solution

The fourth proportional to 787.03, 1,086.51 and 507.43 is: 700.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.03 : 1,086.51 = 507.43 : x
  2. Step 2: Convert to fraction form
    787.03/1,086.51 = 507.43/x
  3. Step 3: Cross multiply
    787.03x = 1,086.51 × 507.43
  4. Step 4: Simplify right side
    787.03x = 551,327.77
  5. Step 5: Solve for x
    x = 551,327.77/787.03
  6. Step 6: Final answer
    x = 700.52

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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.