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Finding the Fourth Proportional to 505.49, 697.33 and 358.20

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Solution

The fourth proportional to 505.49, 697.33 and 358.20 is: 494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.49 : 697.33 = 358.20 : x
  2. Step 2: Convert to fraction form
    505.49/697.33 = 358.20/x
  3. Step 3: Cross multiply
    505.49x = 697.33 × 358.20
  4. Step 4: Simplify right side
    505.49x = 249,783.61
  5. Step 5: Solve for x
    x = 249,783.61/505.49
  6. Step 6: Final answer
    x = 494.14

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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.