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Finding the Fourth Proportional to 555.75, 830.06 and 524.16

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Solution

The fourth proportional to 555.75, 830.06 and 524.16 is: 782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.75 : 830.06 = 524.16 : x
  2. Step 2: Convert to fraction form
    555.75/830.06 = 524.16/x
  3. Step 3: Cross multiply
    555.75x = 830.06 × 524.16
  4. Step 4: Simplify right side
    555.75x = 435,081.63
  5. Step 5: Solve for x
    x = 435,081.63/555.75
  6. Step 6: Final answer
    x = 782.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.