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Finding the Fourth Proportional to 1,300.04, 1,948.88 and 477.74

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Solution

The fourth proportional to 1,300.04, 1,948.88 and 477.74 is: 716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.04 : 1,948.88 = 477.74 : x
  2. Step 2: Convert to fraction form
    1,300.04/1,948.88 = 477.74/x
  3. Step 3: Cross multiply
    1,300.04x = 1,948.88 × 477.74
  4. Step 4: Simplify right side
    1,300.04x = 931,057.93
  5. Step 5: Solve for x
    x = 931,057.93/1,300.04
  6. Step 6: Final answer
    x = 716.18

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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.