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Finding the Fourth Proportional to 525.26, 783.79 and 470.60

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Solution

The fourth proportional to 525.26, 783.79 and 470.60 is: 702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.26 : 783.79 = 470.60 : x
  2. Step 2: Convert to fraction form
    525.26/783.79 = 470.60/x
  3. Step 3: Cross multiply
    525.26x = 783.79 × 470.60
  4. Step 4: Simplify right side
    525.26x = 368,849.22
  5. Step 5: Solve for x
    x = 368,849.22/525.26
  6. Step 6: Final answer
    x = 702.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.