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Finding the Fourth Proportional to 469.06, 700.85 and 345.13

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Solution

The fourth proportional to 469.06, 700.85 and 345.13 is: 515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.06 : 700.85 = 345.13 : x
  2. Step 2: Convert to fraction form
    469.06/700.85 = 345.13/x
  3. Step 3: Cross multiply
    469.06x = 700.85 × 345.13
  4. Step 4: Simplify right side
    469.06x = 241,883.47
  5. Step 5: Solve for x
    x = 241,883.47/469.06
  6. Step 6: Final answer
    x = 515.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.