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Finding the Fourth Proportional to 536.15, 740.04 and 497.18

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Solution

The fourth proportional to 536.15, 740.04 and 497.18 is: 686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.15 : 740.04 = 497.18 : x
  2. Step 2: Convert to fraction form
    536.15/740.04 = 497.18/x
  3. Step 3: Cross multiply
    536.15x = 740.04 × 497.18
  4. Step 4: Simplify right side
    536.15x = 367,934.94
  5. Step 5: Solve for x
    x = 367,934.94/536.15
  6. Step 6: Final answer
    x = 686.26

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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.