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Finding the Fourth Proportional to 505.90, 697.98 and 357.40

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Solution

The fourth proportional to 505.90, 697.98 and 357.40 is: 493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.90 : 697.98 = 357.40 : x
  2. Step 2: Convert to fraction form
    505.90/697.98 = 357.40/x
  3. Step 3: Cross multiply
    505.90x = 697.98 × 357.40
  4. Step 4: Simplify right side
    505.90x = 249,458.05
  5. Step 5: Solve for x
    x = 249,458.05/505.90
  6. Step 6: Final answer
    x = 493.10

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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.