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Finding the Fourth Proportional to 487.65, 727.70 and 435.74

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Solution

The fourth proportional to 487.65, 727.70 and 435.74 is: 650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.65 : 727.70 = 435.74 : x
  2. Step 2: Convert to fraction form
    487.65/727.70 = 435.74/x
  3. Step 3: Cross multiply
    487.65x = 727.70 × 435.74
  4. Step 4: Simplify right side
    487.65x = 317,088.00
  5. Step 5: Solve for x
    x = 317,088.00/487.65
  6. Step 6: Final answer
    x = 650.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.