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Finding the Fourth Proportional to 1,007, 1,510.80 and 429.92

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Solution

The fourth proportional to 1,007, 1,510.80 and 429.92 is: 645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007 : 1,510.80 = 429.92 : x
  2. Step 2: Convert to fraction form
    1,007/1,510.80 = 429.92/x
  3. Step 3: Cross multiply
    1,007x = 1,510.80 × 429.92
  4. Step 4: Simplify right side
    1,007x = 649,523.14
  5. Step 5: Solve for x
    x = 649,523.14/1,007
  6. Step 6: Final answer
    x = 645.01

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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.