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Finding the Fourth Proportional to 1,038.14, 1,557.84 and 421.80

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Solution

The fourth proportional to 1,038.14, 1,557.84 and 421.80 is: 632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.14 : 1,557.84 = 421.80 : x
  2. Step 2: Convert to fraction form
    1,038.14/1,557.84 = 421.80/x
  3. Step 3: Cross multiply
    1,038.14x = 1,557.84 × 421.80
  4. Step 4: Simplify right side
    1,038.14x = 657,095.86
  5. Step 5: Solve for x
    x = 657,095.86/1,038.14
  6. Step 6: Final answer
    x = 632.95

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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.