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Finding the Fourth Proportional to 407.64, 607.88 and 385.40

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Solution

The fourth proportional to 407.64, 607.88 and 385.40 is: 574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.64 : 607.88 = 385.40 : x
  2. Step 2: Convert to fraction form
    407.64/607.88 = 385.40/x
  3. Step 3: Cross multiply
    407.64x = 607.88 × 385.40
  4. Step 4: Simplify right side
    407.64x = 234,276.95
  5. Step 5: Solve for x
    x = 234,276.95/407.64
  6. Step 6: Final answer
    x = 574.72

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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.