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Finding the Fourth Proportional to 696.15, 1,042.35 and 435.51

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Solution

The fourth proportional to 696.15, 1,042.35 and 435.51 is: 652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.15 : 1,042.35 = 435.51 : x
  2. Step 2: Convert to fraction form
    696.15/1,042.35 = 435.51/x
  3. Step 3: Cross multiply
    696.15x = 1,042.35 × 435.51
  4. Step 4: Simplify right side
    696.15x = 453,953.85
  5. Step 5: Solve for x
    x = 453,953.85/696.15
  6. Step 6: Final answer
    x = 652.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.