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Finding the Fourth Proportional to 830.16, 1,145.70 and 498.78

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Solution

The fourth proportional to 830.16, 1,145.70 and 498.78 is: 688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,145.70 = 498.78 : x
  2. Step 2: Convert to fraction form
    830.16/1,145.70 = 498.78/x
  3. Step 3: Cross multiply
    830.16x = 1,145.70 × 498.78
  4. Step 4: Simplify right side
    830.16x = 571,452.25
  5. Step 5: Solve for x
    x = 571,452.25/830.16
  6. Step 6: Final answer
    x = 688.36

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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.