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Finding the Fourth Proportional to 690.88, 1,033.72 and 498.08

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Solution

The fourth proportional to 690.88, 1,033.72 and 498.08 is: 745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.88 : 1,033.72 = 498.08 : x
  2. Step 2: Convert to fraction form
    690.88/1,033.72 = 498.08/x
  3. Step 3: Cross multiply
    690.88x = 1,033.72 × 498.08
  4. Step 4: Simplify right side
    690.88x = 514,875.26
  5. Step 5: Solve for x
    x = 514,875.26/690.88
  6. Step 6: Final answer
    x = 745.25

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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.