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Finding the Fourth Proportional to 566.61, 782.08 and 370.15

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Solution

The fourth proportional to 566.61, 782.08 and 370.15 is: 510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.61 : 782.08 = 370.15 : x
  2. Step 2: Convert to fraction form
    566.61/782.08 = 370.15/x
  3. Step 3: Cross multiply
    566.61x = 782.08 × 370.15
  4. Step 4: Simplify right side
    566.61x = 289,483.00
  5. Step 5: Solve for x
    x = 289,483.00/566.61
  6. Step 6: Final answer
    x = 510.91

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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.