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Finding the Fourth Proportional to 480.69, 719.42 and 429.93

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Solution

The fourth proportional to 480.69, 719.42 and 429.93 is: 643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.69 : 719.42 = 429.93 : x
  2. Step 2: Convert to fraction form
    480.69/719.42 = 429.93/x
  3. Step 3: Cross multiply
    480.69x = 719.42 × 429.93
  4. Step 4: Simplify right side
    480.69x = 309,298.09
  5. Step 5: Solve for x
    x = 309,298.09/480.69
  6. Step 6: Final answer
    x = 643.45

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