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Finding the Fourth Proportional to 703.13, 970.52 and 470.25

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Solution

The fourth proportional to 703.13, 970.52 and 470.25 is: 649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.13 : 970.52 = 470.25 : x
  2. Step 2: Convert to fraction form
    703.13/970.52 = 470.25/x
  3. Step 3: Cross multiply
    703.13x = 970.52 × 470.25
  4. Step 4: Simplify right side
    703.13x = 456,384.68
  5. Step 5: Solve for x
    x = 456,384.68/703.13
  6. Step 6: Final answer
    x = 649.08

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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.