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Finding the Fourth Proportional to 430.93, 647.40 and 407.62

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Solution

The fourth proportional to 430.93, 647.40 and 407.62 is: 612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.93 : 647.40 = 407.62 : x
  2. Step 2: Convert to fraction form
    430.93/647.40 = 407.62/x
  3. Step 3: Cross multiply
    430.93x = 647.40 × 407.62
  4. Step 4: Simplify right side
    430.93x = 263,893.19
  5. Step 5: Solve for x
    x = 263,893.19/430.93
  6. Step 6: Final answer
    x = 612.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.