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Finding the Fourth Proportional to 788.42, 1,087.95 and 456.78

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Solution

The fourth proportional to 788.42, 1,087.95 and 456.78 is: 630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.42 : 1,087.95 = 456.78 : x
  2. Step 2: Convert to fraction form
    788.42/1,087.95 = 456.78/x
  3. Step 3: Cross multiply
    788.42x = 1,087.95 × 456.78
  4. Step 4: Simplify right side
    788.42x = 496,953.80
  5. Step 5: Solve for x
    x = 496,953.80/788.42
  6. Step 6: Final answer
    x = 630.32

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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.