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Finding the Fourth Proportional to 1,145.49, 1,719.99 and 497.49

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Solution

The fourth proportional to 1,145.49, 1,719.99 and 497.49 is: 747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.49 : 1,719.99 = 497.49 : x
  2. Step 2: Convert to fraction form
    1,145.49/1,719.99 = 497.49/x
  3. Step 3: Cross multiply
    1,145.49x = 1,719.99 × 497.49
  4. Step 4: Simplify right side
    1,145.49x = 855,677.83
  5. Step 5: Solve for x
    x = 855,677.83/1,145.49
  6. Step 6: Final answer
    x = 747.00

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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.