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Finding the Fourth Proportional to 530.68, 727.88 and 505.48

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Solution

The fourth proportional to 530.68, 727.88 and 505.48 is: 693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.68 : 727.88 = 505.48 : x
  2. Step 2: Convert to fraction form
    530.68/727.88 = 505.48/x
  3. Step 3: Cross multiply
    530.68x = 727.88 × 505.48
  4. Step 4: Simplify right side
    530.68x = 367,928.78
  5. Step 5: Solve for x
    x = 367,928.78/530.68
  6. Step 6: Final answer
    x = 693.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.