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Finding the Fourth Proportional to 505.77, 697.32 and 339.72

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Solution

The fourth proportional to 505.77, 697.32 and 339.72 is: 468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.77 : 697.32 = 339.72 : x
  2. Step 2: Convert to fraction form
    505.77/697.32 = 339.72/x
  3. Step 3: Cross multiply
    505.77x = 697.32 × 339.72
  4. Step 4: Simplify right side
    505.77x = 236,893.55
  5. Step 5: Solve for x
    x = 236,893.55/505.77
  6. Step 6: Final answer
    x = 468.38

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1.5x scale

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.