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Finding the Fourth Proportional to 693.35, 1,038.63 and 345.63

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Solution

The fourth proportional to 693.35, 1,038.63 and 345.63 is: 517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.35 : 1,038.63 = 345.63 : x
  2. Step 2: Convert to fraction form
    693.35/1,038.63 = 345.63/x
  3. Step 3: Cross multiply
    693.35x = 1,038.63 × 345.63
  4. Step 4: Simplify right side
    693.35x = 358,981.69
  5. Step 5: Solve for x
    x = 358,981.69/693.35
  6. Step 6: Final answer
    x = 517.75

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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.