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Finding the Fourth Proportional to 505.34, 760.54 and 455.02

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Solution

The fourth proportional to 505.34, 760.54 and 455.02 is: 684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.34 : 760.54 = 455.02 : x
  2. Step 2: Convert to fraction form
    505.34/760.54 = 455.02/x
  3. Step 3: Cross multiply
    505.34x = 760.54 × 455.02
  4. Step 4: Simplify right side
    505.34x = 346,058.73
  5. Step 5: Solve for x
    x = 346,058.73/505.34
  6. Step 6: Final answer
    x = 684.81

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1.5x scale

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.