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Finding the Fourth Proportional to 929.85, 1,282.86 and 536.76

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Solution

The fourth proportional to 929.85, 1,282.86 and 536.76 is: 740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.85 : 1,282.86 = 536.76 : x
  2. Step 2: Convert to fraction form
    929.85/1,282.86 = 536.76/x
  3. Step 3: Cross multiply
    929.85x = 1,282.86 × 536.76
  4. Step 4: Simplify right side
    929.85x = 688,587.93
  5. Step 5: Solve for x
    x = 688,587.93/929.85
  6. Step 6: Final answer
    x = 740.54

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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.