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Finding the Fourth Proportional to 455.49, 684.14 and 390.47

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Solution

The fourth proportional to 455.49, 684.14 and 390.47 is: 586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.49 : 684.14 = 390.47 : x
  2. Step 2: Convert to fraction form
    455.49/684.14 = 390.47/x
  3. Step 3: Cross multiply
    455.49x = 684.14 × 390.47
  4. Step 4: Simplify right side
    455.49x = 267,130.77
  5. Step 5: Solve for x
    x = 267,130.77/455.49
  6. Step 6: Final answer
    x = 586.47

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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.