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Finding the Fourth Proportional to 506.04, 697.90 and 357.15

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Solution

The fourth proportional to 506.04, 697.90 and 357.15 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.04 : 697.90 = 357.15 : x
  2. Step 2: Convert to fraction form
    506.04/697.90 = 357.15/x
  3. Step 3: Cross multiply
    506.04x = 697.90 × 357.15
  4. Step 4: Simplify right side
    506.04x = 249,254.99
  5. Step 5: Solve for x
    x = 249,254.99/506.04
  6. Step 6: Final answer
    x = 492.56

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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.