Home / 1,053.12-1,579.56-497.70

Finding the Fourth Proportional to 1,053.12, 1,579.56 and 497.70

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Solution

The fourth proportional to 1,053.12, 1,579.56 and 497.70 is: 746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.12 : 1,579.56 = 497.70 : x
  2. Step 2: Convert to fraction form
    1,053.12/1,579.56 = 497.70/x
  3. Step 3: Cross multiply
    1,053.12x = 1,579.56 × 497.70
  4. Step 4: Simplify right side
    1,053.12x = 786,147.01
  5. Step 5: Solve for x
    x = 786,147.01/1,053.12
  6. Step 6: Final answer
    x = 746.49

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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.