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Finding the Fourth Proportional to 907.09, 1,360.87 and 420.49

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Solution

The fourth proportional to 907.09, 1,360.87 and 420.49 is: 630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.09 : 1,360.87 = 420.49 : x
  2. Step 2: Convert to fraction form
    907.09/1,360.87 = 420.49/x
  3. Step 3: Cross multiply
    907.09x = 1,360.87 × 420.49
  4. Step 4: Simplify right side
    907.09x = 572,232.23
  5. Step 5: Solve for x
    x = 572,232.23/907.09
  6. Step 6: Final answer
    x = 630.84

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1.5x scale

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.