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Finding the Fourth Proportional to 924.50, 1,275.81 and 510.50

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Solution

The fourth proportional to 924.50, 1,275.81 and 510.50 is: 704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.50 : 1,275.81 = 510.50 : x
  2. Step 2: Convert to fraction form
    924.50/1,275.81 = 510.50/x
  3. Step 3: Cross multiply
    924.50x = 1,275.81 × 510.50
  4. Step 4: Simplify right side
    924.50x = 651,301.01
  5. Step 5: Solve for x
    x = 651,301.01/924.50
  6. Step 6: Final answer
    x = 704.49

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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.