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Finding the Fourth Proportional to 1,035.40, 1,552.72 and 304.80

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Solution

The fourth proportional to 1,035.40, 1,552.72 and 304.80 is: 457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.40 : 1,552.72 = 304.80 : x
  2. Step 2: Convert to fraction form
    1,035.40/1,552.72 = 304.80/x
  3. Step 3: Cross multiply
    1,035.40x = 1,552.72 × 304.80
  4. Step 4: Simplify right side
    1,035.40x = 473,269.06
  5. Step 5: Solve for x
    x = 473,269.06/1,035.40
  6. Step 6: Final answer
    x = 457.09

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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.