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Finding the Fourth Proportional to 1,303.61, 1,945.21 and 1,165.50

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Solution

The fourth proportional to 1,303.61, 1,945.21 and 1,165.50 is: 1,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.61 : 1,945.21 = 1,165.50 : x
  2. Step 2: Convert to fraction form
    1,303.61/1,945.21 = 1,165.50/x
  3. Step 3: Cross multiply
    1,303.61x = 1,945.21 × 1,165.50
  4. Step 4: Simplify right side
    1,303.61x = 2,267,139.34
  5. Step 5: Solve for x
    x = 2,267,139.34/1,303.61
  6. Step 6: Final answer
    x = 1,739.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.