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Finding the Fourth Proportional to 678.00, 1,013.48 and 586.51

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Solution

The fourth proportional to 678.00, 1,013.48 and 586.51 is: 876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.00 : 1,013.48 = 586.51 : x
  2. Step 2: Convert to fraction form
    678.00/1,013.48 = 586.51/x
  3. Step 3: Cross multiply
    678.00x = 1,013.48 × 586.51
  4. Step 4: Simplify right side
    678.00x = 594,412.89
  5. Step 5: Solve for x
    x = 594,412.89/678.00
  6. Step 6: Final answer
    x = 876.71

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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.