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Finding the Fourth Proportional to 975.89, 1,463.04 and 390.65

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Solution

The fourth proportional to 975.89, 1,463.04 and 390.65 is: 585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.89 : 1,463.04 = 390.65 : x
  2. Step 2: Convert to fraction form
    975.89/1,463.04 = 390.65/x
  3. Step 3: Cross multiply
    975.89x = 1,463.04 × 390.65
  4. Step 4: Simplify right side
    975.89x = 571,529.26
  5. Step 5: Solve for x
    x = 571,529.26/975.89
  6. Step 6: Final answer
    x = 585.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.