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Finding the Fourth Proportional to 581.65, 870.93 and 512.46

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Solution

The fourth proportional to 581.65, 870.93 and 512.46 is: 767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.65 : 870.93 = 512.46 : x
  2. Step 2: Convert to fraction form
    581.65/870.93 = 512.46/x
  3. Step 3: Cross multiply
    581.65x = 870.93 × 512.46
  4. Step 4: Simplify right side
    581.65x = 446,316.79
  5. Step 5: Solve for x
    x = 446,316.79/581.65
  6. Step 6: Final answer
    x = 767.33

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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.