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Finding the Fourth Proportional to 924.57, 1,275.90 and 510.57

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Solution

The fourth proportional to 924.57, 1,275.90 and 510.57 is: 704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.57 : 1,275.90 = 510.57 : x
  2. Step 2: Convert to fraction form
    924.57/1,275.90 = 510.57/x
  3. Step 3: Cross multiply
    924.57x = 1,275.90 × 510.57
  4. Step 4: Simplify right side
    924.57x = 651,436.26
  5. Step 5: Solve for x
    x = 651,436.26/924.57
  6. Step 6: Final answer
    x = 704.58

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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.