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Finding the Fourth Proportional to 907.10, 1,356.60 and 761.30

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Solution

The fourth proportional to 907.10, 1,356.60 and 761.30 is: 1,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.10 : 1,356.60 = 761.30 : x
  2. Step 2: Convert to fraction form
    907.10/1,356.60 = 761.30/x
  3. Step 3: Cross multiply
    907.10x = 1,356.60 × 761.30
  4. Step 4: Simplify right side
    907.10x = 1,032,779.58
  5. Step 5: Solve for x
    x = 1,032,779.58/907.10
  6. Step 6: Final answer
    x = 1,138.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.