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Finding the Fourth Proportional to 1,307.94, 1,962.36 and 578.02

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Solution

The fourth proportional to 1,307.94, 1,962.36 and 578.02 is: 867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.94 : 1,962.36 = 578.02 : x
  2. Step 2: Convert to fraction form
    1,307.94/1,962.36 = 578.02/x
  3. Step 3: Cross multiply
    1,307.94x = 1,962.36 × 578.02
  4. Step 4: Simplify right side
    1,307.94x = 1,134,283.33
  5. Step 5: Solve for x
    x = 1,134,283.33/1,307.94
  6. Step 6: Final answer
    x = 867.23

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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.