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Finding the Fourth Proportional to 810.32, 1,214.55 and 347.40

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Solution

The fourth proportional to 810.32, 1,214.55 and 347.40 is: 520.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.32 : 1,214.55 = 347.40 : x
  2. Step 2: Convert to fraction form
    810.32/1,214.55 = 347.40/x
  3. Step 3: Cross multiply
    810.32x = 1,214.55 × 347.40
  4. Step 4: Simplify right side
    810.32x = 421,934.67
  5. Step 5: Solve for x
    x = 421,934.67/810.32
  6. Step 6: Final answer
    x = 520.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.