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Finding the Fourth Proportional to 501.24, 691.72 and 304.76

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Solution

The fourth proportional to 501.24, 691.72 and 304.76 is: 420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.24 : 691.72 = 304.76 : x
  2. Step 2: Convert to fraction form
    501.24/691.72 = 304.76/x
  3. Step 3: Cross multiply
    501.24x = 691.72 × 304.76
  4. Step 4: Simplify right side
    501.24x = 210,808.59
  5. Step 5: Solve for x
    x = 210,808.59/501.24
  6. Step 6: Final answer
    x = 420.57

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Find fourth proportional to 250.62, 345.86 and 152.38
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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.