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Finding the Fourth Proportional to 810.23, 1,117.85 and 558.15

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Solution

The fourth proportional to 810.23, 1,117.85 and 558.15 is: 770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.23 : 1,117.85 = 558.15 : x
  2. Step 2: Convert to fraction form
    810.23/1,117.85 = 558.15/x
  3. Step 3: Cross multiply
    810.23x = 1,117.85 × 558.15
  4. Step 4: Simplify right side
    810.23x = 623,925.19
  5. Step 5: Solve for x
    x = 623,925.19/810.23
  6. Step 6: Final answer
    x = 770.06

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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.