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Finding the Fourth Proportional to 580.74, 867.53 and 571.02

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Solution

The fourth proportional to 580.74, 867.53 and 571.02 is: 853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.74 : 867.53 = 571.02 : x
  2. Step 2: Convert to fraction form
    580.74/867.53 = 571.02/x
  3. Step 3: Cross multiply
    580.74x = 867.53 × 571.02
  4. Step 4: Simplify right side
    580.74x = 495,374.13
  5. Step 5: Solve for x
    x = 495,374.13/580.74
  6. Step 6: Final answer
    x = 853.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.