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Finding the Fourth Proportional to 703.23, 970.07 and 437.58

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Solution

The fourth proportional to 703.23, 970.07 and 437.58 is: 603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.23 : 970.07 = 437.58 : x
  2. Step 2: Convert to fraction form
    703.23/970.07 = 437.58/x
  3. Step 3: Cross multiply
    703.23x = 970.07 × 437.58
  4. Step 4: Simplify right side
    703.23x = 424,481.04
  5. Step 5: Solve for x
    x = 424,481.04/703.23
  6. Step 6: Final answer
    x = 603.62

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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.