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Finding the Fourth Proportional to 430.93, 642.92 and 410.32

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Solution

The fourth proportional to 430.93, 642.92 and 410.32 is: 612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.93 : 642.92 = 410.32 : x
  2. Step 2: Convert to fraction form
    430.93/642.92 = 410.32/x
  3. Step 3: Cross multiply
    430.93x = 642.92 × 410.32
  4. Step 4: Simplify right side
    430.93x = 263,802.93
  5. Step 5: Solve for x
    x = 263,802.93/430.93
  6. Step 6: Final answer
    x = 612.17

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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.