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Finding the Fourth Proportional to 907.68, 1,361.16 and 585.12

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Solution

The fourth proportional to 907.68, 1,361.16 and 585.12 is: 877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.68 : 1,361.16 = 585.12 : x
  2. Step 2: Convert to fraction form
    907.68/1,361.16 = 585.12/x
  3. Step 3: Cross multiply
    907.68x = 1,361.16 × 585.12
  4. Step 4: Simplify right side
    907.68x = 796,441.94
  5. Step 5: Solve for x
    x = 796,441.94/907.68
  6. Step 6: Final answer
    x = 877.45

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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.