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Finding the Fourth Proportional to 501.60, 711.30 and 501.60

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Solution

The fourth proportional to 501.60, 711.30 and 501.60 is: 711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.60 : 711.30 = 501.60 : x
  2. Step 2: Convert to fraction form
    501.60/711.30 = 501.60/x
  3. Step 3: Cross multiply
    501.60x = 711.30 × 501.60
  4. Step 4: Simplify right side
    501.60x = 356,788.08
  5. Step 5: Solve for x
    x = 356,788.08/501.60
  6. Step 6: Final answer
    x = 711.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.