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Finding the Fourth Proportional to 1,572.81, 2,356.79 and 1,045.50

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Solution

The fourth proportional to 1,572.81, 2,356.79 and 1,045.50 is: 1,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.81 : 2,356.79 = 1,045.50 : x
  2. Step 2: Convert to fraction form
    1,572.81/2,356.79 = 1,045.50/x
  3. Step 3: Cross multiply
    1,572.81x = 2,356.79 × 1,045.50
  4. Step 4: Simplify right side
    1,572.81x = 2,464,018.72
  5. Step 5: Solve for x
    x = 2,464,018.72/1,572.81
  6. Step 6: Final answer
    x = 1,566.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.