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Finding the Fourth Proportional to 924.57, 1,275.57 and 526.19

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Solution

The fourth proportional to 924.57, 1,275.57 and 526.19 is: 725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.57 : 1,275.57 = 526.19 : x
  2. Step 2: Convert to fraction form
    924.57/1,275.57 = 526.19/x
  3. Step 3: Cross multiply
    924.57x = 1,275.57 × 526.19
  4. Step 4: Simplify right side
    924.57x = 671,185.80
  5. Step 5: Solve for x
    x = 671,185.80/924.57
  6. Step 6: Final answer
    x = 725.94

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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.