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Finding the Fourth Proportional to 1,259.19, 1,737.65 and 735.20

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Solution

The fourth proportional to 1,259.19, 1,737.65 and 735.20 is: 1,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.19 : 1,737.65 = 735.20 : x
  2. Step 2: Convert to fraction form
    1,259.19/1,737.65 = 735.20/x
  3. Step 3: Cross multiply
    1,259.19x = 1,737.65 × 735.20
  4. Step 4: Simplify right side
    1,259.19x = 1,277,507.92
  5. Step 5: Solve for x
    x = 1,277,507.92/1,259.19
  6. Step 6: Final answer
    x = 1,014.55

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.