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Finding the Fourth Proportional to 505.32, 761.73 and 455.10

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Solution

The fourth proportional to 505.32, 761.73 and 455.10 is: 686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.32 : 761.73 = 455.10 : x
  2. Step 2: Convert to fraction form
    505.32/761.73 = 455.10/x
  3. Step 3: Cross multiply
    505.32x = 761.73 × 455.10
  4. Step 4: Simplify right side
    505.32x = 346,663.32
  5. Step 5: Solve for x
    x = 346,663.32/505.32
  6. Step 6: Final answer
    x = 686.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.