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Finding the Fourth Proportional to 536.48, 740.78 and 509.32

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Solution

The fourth proportional to 536.48, 740.78 and 509.32 is: 703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.48 : 740.78 = 509.32 : x
  2. Step 2: Convert to fraction form
    536.48/740.78 = 509.32/x
  3. Step 3: Cross multiply
    536.48x = 740.78 × 509.32
  4. Step 4: Simplify right side
    536.48x = 377,294.07
  5. Step 5: Solve for x
    x = 377,294.07/536.48
  6. Step 6: Final answer
    x = 703.28

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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.