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Finding the Fourth Proportional to 1,094.86, 1,509.15 and 740.67

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Solution

The fourth proportional to 1,094.86, 1,509.15 and 740.67 is: 1,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.86 : 1,509.15 = 740.67 : x
  2. Step 2: Convert to fraction form
    1,094.86/1,509.15 = 740.67/x
  3. Step 3: Cross multiply
    1,094.86x = 1,509.15 × 740.67
  4. Step 4: Simplify right side
    1,094.86x = 1,117,782.13
  5. Step 5: Solve for x
    x = 1,117,782.13/1,094.86
  6. Step 6: Final answer
    x = 1,020.94

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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.