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Finding the Fourth Proportional to 505.03, 695.63 and 357.40

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Solution

The fourth proportional to 505.03, 695.63 and 357.40 is: 492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.03 : 695.63 = 357.40 : x
  2. Step 2: Convert to fraction form
    505.03/695.63 = 357.40/x
  3. Step 3: Cross multiply
    505.03x = 695.63 × 357.40
  4. Step 4: Simplify right side
    505.03x = 248,618.16
  5. Step 5: Solve for x
    x = 248,618.16/505.03
  6. Step 6: Final answer
    x = 492.28

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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.