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Finding the Fourth Proportional to 688.95, 1,033.12 and 342.40

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Solution

The fourth proportional to 688.95, 1,033.12 and 342.40 is: 513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.95 : 1,033.12 = 342.40 : x
  2. Step 2: Convert to fraction form
    688.95/1,033.12 = 342.40/x
  3. Step 3: Cross multiply
    688.95x = 1,033.12 × 342.40
  4. Step 4: Simplify right side
    688.95x = 353,740.29
  5. Step 5: Solve for x
    x = 353,740.29/688.95
  6. Step 6: Final answer
    x = 513.45

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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.