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Finding the Fourth Proportional to 907.10, 1,252.34 and 707.54

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Solution

The fourth proportional to 907.10, 1,252.34 and 707.54 is: 976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.10 : 1,252.34 = 707.54 : x
  2. Step 2: Convert to fraction form
    907.10/1,252.34 = 707.54/x
  3. Step 3: Cross multiply
    907.10x = 1,252.34 × 707.54
  4. Step 4: Simplify right side
    907.10x = 886,070.84
  5. Step 5: Solve for x
    x = 886,070.84/907.10
  6. Step 6: Final answer
    x = 976.82

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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.