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Finding the Fourth Proportional to 460.58, 689.58 and 297.77

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Solution

The fourth proportional to 460.58, 689.58 and 297.77 is: 445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.58 : 689.58 = 297.77 : x
  2. Step 2: Convert to fraction form
    460.58/689.58 = 297.77/x
  3. Step 3: Cross multiply
    460.58x = 689.58 × 297.77
  4. Step 4: Simplify right side
    460.58x = 205,332.79
  5. Step 5: Solve for x
    x = 205,332.79/460.58
  6. Step 6: Final answer
    x = 445.82

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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.