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Finding the Fourth Proportional to 566.84, 780.36 and 508.52

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Solution

The fourth proportional to 566.84, 780.36 and 508.52 is: 700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.84 : 780.36 = 508.52 : x
  2. Step 2: Convert to fraction form
    566.84/780.36 = 508.52/x
  3. Step 3: Cross multiply
    566.84x = 780.36 × 508.52
  4. Step 4: Simplify right side
    566.84x = 396,828.67
  5. Step 5: Solve for x
    x = 396,828.67/566.84
  6. Step 6: Final answer
    x = 700.07

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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.