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Finding the Fourth Proportional to 763.40, 1,053.24 and 464.76

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Solution

The fourth proportional to 763.40, 1,053.24 and 464.76 is: 641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.40 : 1,053.24 = 464.76 : x
  2. Step 2: Convert to fraction form
    763.40/1,053.24 = 464.76/x
  3. Step 3: Cross multiply
    763.40x = 1,053.24 × 464.76
  4. Step 4: Simplify right side
    763.40x = 489,503.82
  5. Step 5: Solve for x
    x = 489,503.82/763.40
  6. Step 6: Final answer
    x = 641.22

Related Problems

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Half scale
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Double scale
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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.