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Finding the Fourth Proportional to 907.30, 1,249.32 and 782.74

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Solution

The fourth proportional to 907.30, 1,249.32 and 782.74 is: 1,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.30 : 1,249.32 = 782.74 : x
  2. Step 2: Convert to fraction form
    907.30/1,249.32 = 782.74/x
  3. Step 3: Cross multiply
    907.30x = 1,249.32 × 782.74
  4. Step 4: Simplify right side
    907.30x = 977,892.74
  5. Step 5: Solve for x
    x = 977,892.74/907.30
  6. Step 6: Final answer
    x = 1,077.81

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1.5x scale

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.