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Finding the Fourth Proportional to 1,048.82, 1,572.15 and 472.10

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Solution

The fourth proportional to 1,048.82, 1,572.15 and 472.10 is: 707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.82 : 1,572.15 = 472.10 : x
  2. Step 2: Convert to fraction form
    1,048.82/1,572.15 = 472.10/x
  3. Step 3: Cross multiply
    1,048.82x = 1,572.15 × 472.10
  4. Step 4: Simplify right side
    1,048.82x = 742,212.02
  5. Step 5: Solve for x
    x = 742,212.02/1,048.82
  6. Step 6: Final answer
    x = 707.66

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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.