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Finding the Fourth Proportional to 407.60, 607.90 and 364.40

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Solution

The fourth proportional to 407.60, 607.90 and 364.40 is: 543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.60 : 607.90 = 364.40 : x
  2. Step 2: Convert to fraction form
    407.60/607.90 = 364.40/x
  3. Step 3: Cross multiply
    407.60x = 607.90 × 364.40
  4. Step 4: Simplify right side
    407.60x = 221,518.76
  5. Step 5: Solve for x
    x = 221,518.76/407.60
  6. Step 6: Final answer
    x = 543.47

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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.