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Finding the Fourth Proportional to 702.99, 970.34 and 454.31

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Solution

The fourth proportional to 702.99, 970.34 and 454.31 is: 627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.99 : 970.34 = 454.31 : x
  2. Step 2: Convert to fraction form
    702.99/970.34 = 454.31/x
  3. Step 3: Cross multiply
    702.99x = 970.34 × 454.31
  4. Step 4: Simplify right side
    702.99x = 440,828.04
  5. Step 5: Solve for x
    x = 440,828.04/702.99
  6. Step 6: Final answer
    x = 627.08

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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.