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Finding the Fourth Proportional to 709.22, 975.30 and 567.56

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Solution

The fourth proportional to 709.22, 975.30 and 567.56 is: 780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.22 : 975.30 = 567.56 : x
  2. Step 2: Convert to fraction form
    709.22/975.30 = 567.56/x
  3. Step 3: Cross multiply
    709.22x = 975.30 × 567.56
  4. Step 4: Simplify right side
    709.22x = 553,541.27
  5. Step 5: Solve for x
    x = 553,541.27/709.22
  6. Step 6: Final answer
    x = 780.49

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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.