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Finding the Fourth Proportional to 569.71, 853.35 and 501.40

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Solution

The fourth proportional to 569.71, 853.35 and 501.40 is: 751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.71 : 853.35 = 501.40 : x
  2. Step 2: Convert to fraction form
    569.71/853.35 = 501.40/x
  3. Step 3: Cross multiply
    569.71x = 853.35 × 501.40
  4. Step 4: Simplify right side
    569.71x = 427,869.69
  5. Step 5: Solve for x
    x = 427,869.69/569.71
  6. Step 6: Final answer
    x = 751.03

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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.