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Finding the Fourth Proportional to 571.48, 783.50 and 561.10

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Solution

The fourth proportional to 571.48, 783.50 and 561.10 is: 769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.48 : 783.50 = 561.10 : x
  2. Step 2: Convert to fraction form
    571.48/783.50 = 561.10/x
  3. Step 3: Cross multiply
    571.48x = 783.50 × 561.10
  4. Step 4: Simplify right side
    571.48x = 439,619.04
  5. Step 5: Solve for x
    x = 439,619.04/571.48
  6. Step 6: Final answer
    x = 769.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.