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Finding the Fourth Proportional to 740.34, 1,103.96 and 690.08

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Solution

The fourth proportional to 740.34, 1,103.96 and 690.08 is: 1,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.34 : 1,103.96 = 690.08 : x
  2. Step 2: Convert to fraction form
    740.34/1,103.96 = 690.08/x
  3. Step 3: Cross multiply
    740.34x = 1,103.96 × 690.08
  4. Step 4: Simplify right side
    740.34x = 761,811.75
  5. Step 5: Solve for x
    x = 761,811.75/740.34
  6. Step 6: Final answer
    x = 1,029.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.