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Finding the Fourth Proportional to 1,021.37, 1,409.39 and 567.13

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Solution

The fourth proportional to 1,021.37, 1,409.39 and 567.13 is: 782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.37 : 1,409.39 = 567.13 : x
  2. Step 2: Convert to fraction form
    1,021.37/1,409.39 = 567.13/x
  3. Step 3: Cross multiply
    1,021.37x = 1,409.39 × 567.13
  4. Step 4: Simplify right side
    1,021.37x = 799,307.35
  5. Step 5: Solve for x
    x = 799,307.35/1,021.37
  6. Step 6: Final answer
    x = 782.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.