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Finding the Fourth Proportional to 830.32, 1,145.55 and 498.49

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Solution

The fourth proportional to 830.32, 1,145.55 and 498.49 is: 687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.32 : 1,145.55 = 498.49 : x
  2. Step 2: Convert to fraction form
    830.32/1,145.55 = 498.49/x
  3. Step 3: Cross multiply
    830.32x = 1,145.55 × 498.49
  4. Step 4: Simplify right side
    830.32x = 571,045.22
  5. Step 5: Solve for x
    x = 571,045.22/830.32
  6. Step 6: Final answer
    x = 687.74

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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.