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Finding the Fourth Proportional to 505.74, 696.10 and 358.11

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Solution

The fourth proportional to 505.74, 696.10 and 358.11 is: 492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.74 : 696.10 = 358.11 : x
  2. Step 2: Convert to fraction form
    505.74/696.10 = 358.11/x
  3. Step 3: Cross multiply
    505.74x = 696.10 × 358.11
  4. Step 4: Simplify right side
    505.74x = 249,283.11
  5. Step 5: Solve for x
    x = 249,283.11/505.74
  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.