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Finding the Fourth Proportional to 503.65, 695.08 and 307.20

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Solution

The fourth proportional to 503.65, 695.08 and 307.20 is: 423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.65 : 695.08 = 307.20 : x
  2. Step 2: Convert to fraction form
    503.65/695.08 = 307.20/x
  3. Step 3: Cross multiply
    503.65x = 695.08 × 307.20
  4. Step 4: Simplify right side
    503.65x = 213,525.93
  5. Step 5: Solve for x
    x = 213,525.93/503.65
  6. Step 6: Final answer
    x = 423.96

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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.