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Finding the Fourth Proportional to 547.66, 816.02 and 526.70

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Solution

The fourth proportional to 547.66, 816.02 and 526.70 is: 784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.66 : 816.02 = 526.70 : x
  2. Step 2: Convert to fraction form
    547.66/816.02 = 526.70/x
  3. Step 3: Cross multiply
    547.66x = 816.02 × 526.70
  4. Step 4: Simplify right side
    547.66x = 429,802.08
  5. Step 5: Solve for x
    x = 429,802.08/547.66
  6. Step 6: Final answer
    x = 784.80

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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.