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Finding the Fourth Proportional to 480.84, 718.62 and 430.08

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Solution

The fourth proportional to 480.84, 718.62 and 430.08 is: 642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.84 : 718.62 = 430.08 : x
  2. Step 2: Convert to fraction form
    480.84/718.62 = 430.08/x
  3. Step 3: Cross multiply
    480.84x = 718.62 × 430.08
  4. Step 4: Simplify right side
    480.84x = 309,064.09
  5. Step 5: Solve for x
    x = 309,064.09/480.84
  6. Step 6: Final answer
    x = 642.76

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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.