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Finding the Fourth Proportional to 565.40, 780.13 and 332.53

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Solution

The fourth proportional to 565.40, 780.13 and 332.53 is: 458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.40 : 780.13 = 332.53 : x
  2. Step 2: Convert to fraction form
    565.40/780.13 = 332.53/x
  3. Step 3: Cross multiply
    565.40x = 780.13 × 332.53
  4. Step 4: Simplify right side
    565.40x = 259,416.63
  5. Step 5: Solve for x
    x = 259,416.63/565.40
  6. Step 6: Final answer
    x = 458.82

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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.