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Finding the Fourth Proportional to 1,497.99, 2,235.89 and 1,405.65

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Solution

The fourth proportional to 1,497.99, 2,235.89 and 1,405.65 is: 2,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.99 : 2,235.89 = 1,405.65 : x
  2. Step 2: Convert to fraction form
    1,497.99/2,235.89 = 1,405.65/x
  3. Step 3: Cross multiply
    1,497.99x = 2,235.89 × 1,405.65
  4. Step 4: Simplify right side
    1,497.99x = 3,142,873.19
  5. Step 5: Solve for x
    x = 3,142,873.19/1,497.99
  6. Step 6: Final answer
    x = 2,098.06

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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.