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Finding the Fourth Proportional to 924.23, 1,275.65 and 609.55

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Solution

The fourth proportional to 924.23, 1,275.65 and 609.55 is: 841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.23 : 1,275.65 = 609.55 : x
  2. Step 2: Convert to fraction form
    924.23/1,275.65 = 609.55/x
  3. Step 3: Cross multiply
    924.23x = 1,275.65 × 609.55
  4. Step 4: Simplify right side
    924.23x = 777,567.74
  5. Step 5: Solve for x
    x = 777,567.74/924.23
  6. Step 6: Final answer
    x = 841.32

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1.5x scale

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.