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Finding the Fourth Proportional to 501.30, 690.93 and 472.50

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Solution

The fourth proportional to 501.30, 690.93 and 472.50 is: 651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.30 : 690.93 = 472.50 : x
  2. Step 2: Convert to fraction form
    501.30/690.93 = 472.50/x
  3. Step 3: Cross multiply
    501.30x = 690.93 × 472.50
  4. Step 4: Simplify right side
    501.30x = 326,464.43
  5. Step 5: Solve for x
    x = 326,464.43/501.30
  6. Step 6: Final answer
    x = 651.24

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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.