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Finding the Fourth Proportional to 788.51, 1,088.12 and 434.43

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Solution

The fourth proportional to 788.51, 1,088.12 and 434.43 is: 599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.51 : 1,088.12 = 434.43 : x
  2. Step 2: Convert to fraction form
    788.51/1,088.12 = 434.43/x
  3. Step 3: Cross multiply
    788.51x = 1,088.12 × 434.43
  4. Step 4: Simplify right side
    788.51x = 472,704.36
  5. Step 5: Solve for x
    x = 472,704.36/788.51
  6. Step 6: Final answer
    x = 599.49

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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.