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Finding the Fourth Proportional to 505.86, 760.64 and 465.77

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Solution

The fourth proportional to 505.86, 760.64 and 465.77 is: 700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.86 : 760.64 = 465.77 : x
  2. Step 2: Convert to fraction form
    505.86/760.64 = 465.77/x
  3. Step 3: Cross multiply
    505.86x = 760.64 × 465.77
  4. Step 4: Simplify right side
    505.86x = 354,277.16
  5. Step 5: Solve for x
    x = 354,277.16/505.86
  6. Step 6: Final answer
    x = 700.35

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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.