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Finding the Fourth Proportional to 700.90, 1,051.34 and 335.48

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Solution

The fourth proportional to 700.90, 1,051.34 and 335.48 is: 503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.90 : 1,051.34 = 335.48 : x
  2. Step 2: Convert to fraction form
    700.90/1,051.34 = 335.48/x
  3. Step 3: Cross multiply
    700.90x = 1,051.34 × 335.48
  4. Step 4: Simplify right side
    700.90x = 352,707.01
  5. Step 5: Solve for x
    x = 352,707.01/700.90
  6. Step 6: Final answer
    x = 503.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.