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Finding the Fourth Proportional to 763.55, 1,053.68 and 448.99

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Solution

The fourth proportional to 763.55, 1,053.68 and 448.99 is: 619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.55 : 1,053.68 = 448.99 : x
  2. Step 2: Convert to fraction form
    763.55/1,053.68 = 448.99/x
  3. Step 3: Cross multiply
    763.55x = 1,053.68 × 448.99
  4. Step 4: Simplify right side
    763.55x = 473,096.62
  5. Step 5: Solve for x
    x = 473,096.62/763.55
  6. Step 6: Final answer
    x = 619.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.