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Finding the Fourth Proportional to 1,578.88, 2,368.28 and 424.63

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Solution

The fourth proportional to 1,578.88, 2,368.28 and 424.63 is: 636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.88 : 2,368.28 = 424.63 : x
  2. Step 2: Convert to fraction form
    1,578.88/2,368.28 = 424.63/x
  3. Step 3: Cross multiply
    1,578.88x = 2,368.28 × 424.63
  4. Step 4: Simplify right side
    1,578.88x = 1,005,642.74
  5. Step 5: Solve for x
    x = 1,005,642.74/1,578.88
  6. Step 6: Final answer
    x = 636.93

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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.