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Finding the Fourth Proportional to 702.88, 968.63 and 506.05

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Solution

The fourth proportional to 702.88, 968.63 and 506.05 is: 697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.88 : 968.63 = 506.05 : x
  2. Step 2: Convert to fraction form
    702.88/968.63 = 506.05/x
  3. Step 3: Cross multiply
    702.88x = 968.63 × 506.05
  4. Step 4: Simplify right side
    702.88x = 490,175.21
  5. Step 5: Solve for x
    x = 490,175.21/702.88
  6. Step 6: Final answer
    x = 697.38

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1.5x scale

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.