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Finding the Fourth Proportional to 590.76, 815.10 and 357.72

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Solution

The fourth proportional to 590.76, 815.10 and 357.72 is: 493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.76 : 815.10 = 357.72 : x
  2. Step 2: Convert to fraction form
    590.76/815.10 = 357.72/x
  3. Step 3: Cross multiply
    590.76x = 815.10 × 357.72
  4. Step 4: Simplify right side
    590.76x = 291,577.57
  5. Step 5: Solve for x
    x = 291,577.57/590.76
  6. Step 6: Final answer
    x = 493.56

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Find fourth proportional to 295.38, 407.55 and 178.86
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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.