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Finding the Fourth Proportional to 714.99, 1,070.43 and 578.31

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Solution

The fourth proportional to 714.99, 1,070.43 and 578.31 is: 865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.99 : 1,070.43 = 578.31 : x
  2. Step 2: Convert to fraction form
    714.99/1,070.43 = 578.31/x
  3. Step 3: Cross multiply
    714.99x = 1,070.43 × 578.31
  4. Step 4: Simplify right side
    714.99x = 619,040.37
  5. Step 5: Solve for x
    x = 619,040.37/714.99
  6. Step 6: Final answer
    x = 865.80

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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.