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Finding the Fourth Proportional to 718.92, 1,075.38 and 573

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Solution

The fourth proportional to 718.92, 1,075.38 and 573 is: 857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.92 : 1,075.38 = 573 : x
  2. Step 2: Convert to fraction form
    718.92/1,075.38 = 573/x
  3. Step 3: Cross multiply
    718.92x = 1,075.38 × 573
  4. Step 4: Simplify right side
    718.92x = 616,192.74
  5. Step 5: Solve for x
    x = 616,192.74/718.92
  6. Step 6: Final answer
    x = 857.11

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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.