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Finding the Fourth Proportional to 1,240.36, 1,860.90 and 471.40

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Solution

The fourth proportional to 1,240.36, 1,860.90 and 471.40 is: 707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.36 : 1,860.90 = 471.40 : x
  2. Step 2: Convert to fraction form
    1,240.36/1,860.90 = 471.40/x
  3. Step 3: Cross multiply
    1,240.36x = 1,860.90 × 471.40
  4. Step 4: Simplify right side
    1,240.36x = 877,228.26
  5. Step 5: Solve for x
    x = 877,228.26/1,240.36
  6. Step 6: Final answer
    x = 707.24

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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.