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Finding the Fourth Proportional to 581.32, 801.66 and 456.76

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Solution

The fourth proportional to 581.32, 801.66 and 456.76 is: 629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.32 : 801.66 = 456.76 : x
  2. Step 2: Convert to fraction form
    581.32/801.66 = 456.76/x
  3. Step 3: Cross multiply
    581.32x = 801.66 × 456.76
  4. Step 4: Simplify right side
    581.32x = 366,166.22
  5. Step 5: Solve for x
    x = 366,166.22/581.32
  6. Step 6: Final answer
    x = 629.89

Related Problems

Find fourth proportional to 290.66, 400.83 and 228.38
Half scale
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Double scale
Find fourth proportional to 582.32, 803.04 and 457.76
Similar ratio
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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.