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Finding the Fourth Proportional to 1,574.42, 2,361.50 and 478.78

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Solution

The fourth proportional to 1,574.42, 2,361.50 and 478.78 is: 718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.42 : 2,361.50 = 478.78 : x
  2. Step 2: Convert to fraction form
    1,574.42/2,361.50 = 478.78/x
  3. Step 3: Cross multiply
    1,574.42x = 2,361.50 × 478.78
  4. Step 4: Simplify right side
    1,574.42x = 1,130,640.17
  5. Step 5: Solve for x
    x = 1,130,640.17/1,574.42
  6. Step 6: Final answer
    x = 718.13

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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.