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Finding the Fourth Proportional to 417.30, 583.50 and 417.30

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Solution

The fourth proportional to 417.30, 583.50 and 417.30 is: 583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.30 : 583.50 = 417.30 : x
  2. Step 2: Convert to fraction form
    417.30/583.50 = 417.30/x
  3. Step 3: Cross multiply
    417.30x = 583.50 × 417.30
  4. Step 4: Simplify right side
    417.30x = 243,494.55
  5. Step 5: Solve for x
    x = 243,494.55/417.30
  6. Step 6: Final answer
    x = 583.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.