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Finding the Fourth Proportional to 904.02, 1,247.51 and 505.65

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Solution

The fourth proportional to 904.02, 1,247.51 and 505.65 is: 697.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.02 : 1,247.51 = 505.65 : x
  2. Step 2: Convert to fraction form
    904.02/1,247.51 = 505.65/x
  3. Step 3: Cross multiply
    904.02x = 1,247.51 × 505.65
  4. Step 4: Simplify right side
    904.02x = 630,809.37
  5. Step 5: Solve for x
    x = 630,809.37/904.02
  6. Step 6: Final answer
    x = 697.79

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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.