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Finding the Fourth Proportional to 954.84, 1,430.24 and 543.77

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Solution

The fourth proportional to 954.84, 1,430.24 and 543.77 is: 814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.84 : 1,430.24 = 543.77 : x
  2. Step 2: Convert to fraction form
    954.84/1,430.24 = 543.77/x
  3. Step 3: Cross multiply
    954.84x = 1,430.24 × 543.77
  4. Step 4: Simplify right side
    954.84x = 777,721.60
  5. Step 5: Solve for x
    x = 777,721.60/954.84
  6. Step 6: Final answer
    x = 814.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.