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Finding the Fourth Proportional to 462.95, 689.44 and 435

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Solution

The fourth proportional to 462.95, 689.44 and 435 is: 647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.95 : 689.44 = 435 : x
  2. Step 2: Convert to fraction form
    462.95/689.44 = 435/x
  3. Step 3: Cross multiply
    462.95x = 689.44 × 435
  4. Step 4: Simplify right side
    462.95x = 299,905.31
  5. Step 5: Solve for x
    x = 299,905.31/462.95
  6. Step 6: Final answer
    x = 647.82

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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.