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Finding the Fourth Proportional to 907.07, 1,352.63 and 857.05

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Solution

The fourth proportional to 907.07, 1,352.63 and 857.05 is: 1,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.07 : 1,352.63 = 857.05 : x
  2. Step 2: Convert to fraction form
    907.07/1,352.63 = 857.05/x
  3. Step 3: Cross multiply
    907.07x = 1,352.63 × 857.05
  4. Step 4: Simplify right side
    907.07x = 1,159,270.30
  5. Step 5: Solve for x
    x = 1,159,270.30/907.07
  6. Step 6: Final answer
    x = 1,278.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.