Home / 1,014.08-1,521.59-997.70

Finding the Fourth Proportional to 1,014.08, 1,521.59 and 997.70

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Solution

The fourth proportional to 1,014.08, 1,521.59 and 997.70 is: 1,497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.08 : 1,521.59 = 997.70 : x
  2. Step 2: Convert to fraction form
    1,014.08/1,521.59 = 997.70/x
  3. Step 3: Cross multiply
    1,014.08x = 1,521.59 × 997.70
  4. Step 4: Simplify right side
    1,014.08x = 1,518,077.75
  5. Step 5: Solve for x
    x = 1,518,077.75/1,014.08
  6. Step 6: Final answer
    x = 1,497.01

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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.