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Finding the Fourth Proportional to 1,044.98, 1,566.77 and 428.52

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Solution

The fourth proportional to 1,044.98, 1,566.77 and 428.52 is: 642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.98 : 1,566.77 = 428.52 : x
  2. Step 2: Convert to fraction form
    1,044.98/1,566.77 = 428.52/x
  3. Step 3: Cross multiply
    1,044.98x = 1,566.77 × 428.52
  4. Step 4: Simplify right side
    1,044.98x = 671,390.14
  5. Step 5: Solve for x
    x = 671,390.14/1,044.98
  6. Step 6: Final answer
    x = 642.49

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Double scale
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1.5x scale

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.