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Finding the Fourth Proportional to 693.18, 1,038.15 and 433.35

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Solution

The fourth proportional to 693.18, 1,038.15 and 433.35 is: 649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.18 : 1,038.15 = 433.35 : x
  2. Step 2: Convert to fraction form
    693.18/1,038.15 = 433.35/x
  3. Step 3: Cross multiply
    693.18x = 1,038.15 × 433.35
  4. Step 4: Simplify right side
    693.18x = 449,882.30
  5. Step 5: Solve for x
    x = 449,882.30/693.18
  6. Step 6: Final answer
    x = 649.01

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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.