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Finding the Fourth Proportional to 703.84, 970.98 and 438.16

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Solution

The fourth proportional to 703.84, 970.98 and 438.16 is: 604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.84 : 970.98 = 438.16 : x
  2. Step 2: Convert to fraction form
    703.84/970.98 = 438.16/x
  3. Step 3: Cross multiply
    703.84x = 970.98 × 438.16
  4. Step 4: Simplify right side
    703.84x = 425,444.60
  5. Step 5: Solve for x
    x = 425,444.60/703.84
  6. Step 6: Final answer
    x = 604.46

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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.