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Finding the Fourth Proportional to 702.84, 970.02 and 440.76

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Solution

The fourth proportional to 702.84, 970.02 and 440.76 is: 608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.84 : 970.02 = 440.76 : x
  2. Step 2: Convert to fraction form
    702.84/970.02 = 440.76/x
  3. Step 3: Cross multiply
    702.84x = 970.02 × 440.76
  4. Step 4: Simplify right side
    702.84x = 427,546.02
  5. Step 5: Solve for x
    x = 427,546.02/702.84
  6. Step 6: Final answer
    x = 608.31

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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.