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Finding the Fourth Proportional to 462.03, 690.14 and 389.13

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Solution

The fourth proportional to 462.03, 690.14 and 389.13 is: 581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.03 : 690.14 = 389.13 : x
  2. Step 2: Convert to fraction form
    462.03/690.14 = 389.13/x
  3. Step 3: Cross multiply
    462.03x = 690.14 × 389.13
  4. Step 4: Simplify right side
    462.03x = 268,552.23
  5. Step 5: Solve for x
    x = 268,552.23/462.03
  6. Step 6: Final answer
    x = 581.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.