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Finding the Fourth Proportional to 1,043.37, 1,564.74 and 393.95

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Solution

The fourth proportional to 1,043.37, 1,564.74 and 393.95 is: 590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.37 : 1,564.74 = 393.95 : x
  2. Step 2: Convert to fraction form
    1,043.37/1,564.74 = 393.95/x
  3. Step 3: Cross multiply
    1,043.37x = 1,564.74 × 393.95
  4. Step 4: Simplify right side
    1,043.37x = 616,421.50
  5. Step 5: Solve for x
    x = 616,421.50/1,043.37
  6. Step 6: Final answer
    x = 590.80

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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.