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Finding the Fourth Proportional to 920.98, 1,271.06 and 528.08

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Solution

The fourth proportional to 920.98, 1,271.06 and 528.08 is: 728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.98 : 1,271.06 = 528.08 : x
  2. Step 2: Convert to fraction form
    920.98/1,271.06 = 528.08/x
  3. Step 3: Cross multiply
    920.98x = 1,271.06 × 528.08
  4. Step 4: Simplify right side
    920.98x = 671,221.36
  5. Step 5: Solve for x
    x = 671,221.36/920.98
  6. Step 6: Final answer
    x = 728.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.