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Finding the Fourth Proportional to 536.76, 740.64 and 315.70

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Solution

The fourth proportional to 536.76, 740.64 and 315.70 is: 435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.76 : 740.64 = 315.70 : x
  2. Step 2: Convert to fraction form
    536.76/740.64 = 315.70/x
  3. Step 3: Cross multiply
    536.76x = 740.64 × 315.70
  4. Step 4: Simplify right side
    536.76x = 233,820.05
  5. Step 5: Solve for x
    x = 233,820.05/536.76
  6. Step 6: Final answer
    x = 435.61

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Find fourth proportional to 268.38, 370.32 and 157.85
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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.