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Finding the Fourth Proportional to 703.66, 970.86 and 420.10

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Solution

The fourth proportional to 703.66, 970.86 and 420.10 is: 579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.66 : 970.86 = 420.10 : x
  2. Step 2: Convert to fraction form
    703.66/970.86 = 420.10/x
  3. Step 3: Cross multiply
    703.66x = 970.86 × 420.10
  4. Step 4: Simplify right side
    703.66x = 407,858.29
  5. Step 5: Solve for x
    x = 407,858.29/703.66
  6. Step 6: Final answer
    x = 579.62

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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.