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Finding the Fourth Proportional to 999.90, 1,498.95 and 653.40

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Solution

The fourth proportional to 999.90, 1,498.95 and 653.40 is: 979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.90 : 1,498.95 = 653.40 : x
  2. Step 2: Convert to fraction form
    999.90/1,498.95 = 653.40/x
  3. Step 3: Cross multiply
    999.90x = 1,498.95 × 653.40
  4. Step 4: Simplify right side
    999.90x = 979,413.93
  5. Step 5: Solve for x
    x = 979,413.93/999.90
  6. Step 6: Final answer
    x = 979.51

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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.