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Finding the Fourth Proportional to 511.64, 705.40 and 345.48

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Solution

The fourth proportional to 511.64, 705.40 and 345.48 is: 476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.64 : 705.40 = 345.48 : x
  2. Step 2: Convert to fraction form
    511.64/705.40 = 345.48/x
  3. Step 3: Cross multiply
    511.64x = 705.40 × 345.48
  4. Step 4: Simplify right side
    511.64x = 243,701.59
  5. Step 5: Solve for x
    x = 243,701.59/511.64
  6. Step 6: Final answer
    x = 476.31

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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.