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Finding the Fourth Proportional to 1,014.62, 1,400.19 and 594.98

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Solution

The fourth proportional to 1,014.62, 1,400.19 and 594.98 is: 821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.62 : 1,400.19 = 594.98 : x
  2. Step 2: Convert to fraction form
    1,014.62/1,400.19 = 594.98/x
  3. Step 3: Cross multiply
    1,014.62x = 1,400.19 × 594.98
  4. Step 4: Simplify right side
    1,014.62x = 833,082.07
  5. Step 5: Solve for x
    x = 833,082.07/1,014.62
  6. Step 6: Final answer
    x = 821.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.