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Finding the Fourth Proportional to 1,291.40, 1,937.10 and 561.50

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Solution

The fourth proportional to 1,291.40, 1,937.10 and 561.50 is: 842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.40 : 1,937.10 = 561.50 : x
  2. Step 2: Convert to fraction form
    1,291.40/1,937.10 = 561.50/x
  3. Step 3: Cross multiply
    1,291.40x = 1,937.10 × 561.50
  4. Step 4: Simplify right side
    1,291.40x = 1,087,681.65
  5. Step 5: Solve for x
    x = 1,087,681.65/1,291.40
  6. Step 6: Final answer
    x = 842.25

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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.