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Finding the Fourth Proportional to 904.72, 1,247.16 and 707.89

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Solution

The fourth proportional to 904.72, 1,247.16 and 707.89 is: 975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.72 : 1,247.16 = 707.89 : x
  2. Step 2: Convert to fraction form
    904.72/1,247.16 = 707.89/x
  3. Step 3: Cross multiply
    904.72x = 1,247.16 × 707.89
  4. Step 4: Simplify right side
    904.72x = 882,852.56
  5. Step 5: Solve for x
    x = 882,852.56/904.72
  6. Step 6: Final answer
    x = 975.83

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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.