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Finding the Fourth Proportional to 1,345.84, 2,020.40 and 907.22

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Solution

The fourth proportional to 1,345.84, 2,020.40 and 907.22 is: 1,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.84 : 2,020.40 = 907.22 : x
  2. Step 2: Convert to fraction form
    1,345.84/2,020.40 = 907.22/x
  3. Step 3: Cross multiply
    1,345.84x = 2,020.40 × 907.22
  4. Step 4: Simplify right side
    1,345.84x = 1,832,947.29
  5. Step 5: Solve for x
    x = 1,832,947.29/1,345.84
  6. Step 6: Final answer
    x = 1,361.94

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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.