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Finding the Fourth Proportional to 693.16, 1,038.70 and 368.20

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Solution

The fourth proportional to 693.16, 1,038.70 and 368.20 is: 551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.16 : 1,038.70 = 368.20 : x
  2. Step 2: Convert to fraction form
    693.16/1,038.70 = 368.20/x
  3. Step 3: Cross multiply
    693.16x = 1,038.70 × 368.20
  4. Step 4: Simplify right side
    693.16x = 382,449.34
  5. Step 5: Solve for x
    x = 382,449.34/693.16
  6. Step 6: Final answer
    x = 551.75

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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.