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Finding the Fourth Proportional to 766.51, 1,057.88 and 435.02

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Solution

The fourth proportional to 766.51, 1,057.88 and 435.02 is: 600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.51 : 1,057.88 = 435.02 : x
  2. Step 2: Convert to fraction form
    766.51/1,057.88 = 435.02/x
  3. Step 3: Cross multiply
    766.51x = 1,057.88 × 435.02
  4. Step 4: Simplify right side
    766.51x = 460,194.76
  5. Step 5: Solve for x
    x = 460,194.76/766.51
  6. Step 6: Final answer
    x = 600.38

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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.