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Finding the Fourth Proportional to 1,044.78, 1,567.77 and 497.22

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Solution

The fourth proportional to 1,044.78, 1,567.77 and 497.22 is: 746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.78 : 1,567.77 = 497.22 : x
  2. Step 2: Convert to fraction form
    1,044.78/1,567.77 = 497.22/x
  3. Step 3: Cross multiply
    1,044.78x = 1,567.77 × 497.22
  4. Step 4: Simplify right side
    1,044.78x = 779,526.60
  5. Step 5: Solve for x
    x = 779,526.60/1,044.78
  6. Step 6: Final answer
    x = 746.12

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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.