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Finding the Fourth Proportional to 457.36, 689.16 and 377.98

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Solution

The fourth proportional to 457.36, 689.16 and 377.98 is: 569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.36 : 689.16 = 377.98 : x
  2. Step 2: Convert to fraction form
    457.36/689.16 = 377.98/x
  3. Step 3: Cross multiply
    457.36x = 689.16 × 377.98
  4. Step 4: Simplify right side
    457.36x = 260,488.70
  5. Step 5: Solve for x
    x = 260,488.70/457.36
  6. Step 6: Final answer
    x = 569.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.