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Finding the Fourth Proportional to 691.05, 1,036.92 and 430.98

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Solution

The fourth proportional to 691.05, 1,036.92 and 430.98 is: 646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.05 : 1,036.92 = 430.98 : x
  2. Step 2: Convert to fraction form
    691.05/1,036.92 = 430.98/x
  3. Step 3: Cross multiply
    691.05x = 1,036.92 × 430.98
  4. Step 4: Simplify right side
    691.05x = 446,889.63
  5. Step 5: Solve for x
    x = 446,889.63/691.05
  6. Step 6: Final answer
    x = 646.69

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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.