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Finding the Fourth Proportional to 580.77, 801.90 and 407.03

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Solution

The fourth proportional to 580.77, 801.90 and 407.03 is: 562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.77 : 801.90 = 407.03 : x
  2. Step 2: Convert to fraction form
    580.77/801.90 = 407.03/x
  3. Step 3: Cross multiply
    580.77x = 801.90 × 407.03
  4. Step 4: Simplify right side
    580.77x = 326,393.35
  5. Step 5: Solve for x
    x = 326,393.35/580.77
  6. Step 6: Final answer
    x = 562.00

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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.