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Finding the Fourth Proportional to 505.77, 696.09 and 358.14

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Solution

The fourth proportional to 505.77, 696.09 and 358.14 is: 492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.77 : 696.09 = 358.14 : x
  2. Step 2: Convert to fraction form
    505.77/696.09 = 358.14/x
  3. Step 3: Cross multiply
    505.77x = 696.09 × 358.14
  4. Step 4: Simplify right side
    505.77x = 249,297.67
  5. Step 5: Solve for x
    x = 249,297.67/505.77
  6. Step 6: Final answer
    x = 492.91

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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.