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Finding the Fourth Proportional to 572.03, 790.05 and 509.87

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Solution

The fourth proportional to 572.03, 790.05 and 509.87 is: 704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.03 : 790.05 = 509.87 : x
  2. Step 2: Convert to fraction form
    572.03/790.05 = 509.87/x
  3. Step 3: Cross multiply
    572.03x = 790.05 × 509.87
  4. Step 4: Simplify right side
    572.03x = 402,818.84
  5. Step 5: Solve for x
    x = 402,818.84/572.03
  6. Step 6: Final answer
    x = 704.20

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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.