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Finding the Fourth Proportional to 526.79, 726.99 and 290.77

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Solution

The fourth proportional to 526.79, 726.99 and 290.77 is: 401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.79 : 726.99 = 290.77 : x
  2. Step 2: Convert to fraction form
    526.79/726.99 = 290.77/x
  3. Step 3: Cross multiply
    526.79x = 726.99 × 290.77
  4. Step 4: Simplify right side
    526.79x = 211,383.25
  5. Step 5: Solve for x
    x = 211,383.25/526.79
  6. Step 6: Final answer
    x = 401.27

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Find fourth proportional to 263.40, 363.50 and 145.38
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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.