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Finding the Fourth Proportional to 900.03, 1,242.80 and 569.04

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Solution

The fourth proportional to 900.03, 1,242.80 and 569.04 is: 785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.03 : 1,242.80 = 569.04 : x
  2. Step 2: Convert to fraction form
    900.03/1,242.80 = 569.04/x
  3. Step 3: Cross multiply
    900.03x = 1,242.80 × 569.04
  4. Step 4: Simplify right side
    900.03x = 707,200.07
  5. Step 5: Solve for x
    x = 707,200.07/900.03
  6. Step 6: Final answer
    x = 785.75

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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.