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Finding the Fourth Proportional to 407.10, 607.70 and 377.06

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Solution

The fourth proportional to 407.10, 607.70 and 377.06 is: 562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.10 : 607.70 = 377.06 : x
  2. Step 2: Convert to fraction form
    407.10/607.70 = 377.06/x
  3. Step 3: Cross multiply
    407.10x = 607.70 × 377.06
  4. Step 4: Simplify right side
    407.10x = 229,139.00
  5. Step 5: Solve for x
    x = 229,139.00/407.10
  6. Step 6: Final answer
    x = 562.86

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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.