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Finding the Fourth Proportional to 536.47, 740.12 and 315.34

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Solution

The fourth proportional to 536.47, 740.12 and 315.34 is: 435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.47 : 740.12 = 315.34 : x
  2. Step 2: Convert to fraction form
    536.47/740.12 = 315.34/x
  3. Step 3: Cross multiply
    536.47x = 740.12 × 315.34
  4. Step 4: Simplify right side
    536.47x = 233,386.01
  5. Step 5: Solve for x
    x = 233,386.01/536.47
  6. Step 6: Final answer
    x = 435.04

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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.