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Finding the Fourth Proportional to 1,345.51, 2,017.61 and 421.17

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Solution

The fourth proportional to 1,345.51, 2,017.61 and 421.17 is: 631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.51 : 2,017.61 = 421.17 : x
  2. Step 2: Convert to fraction form
    1,345.51/2,017.61 = 421.17/x
  3. Step 3: Cross multiply
    1,345.51x = 2,017.61 × 421.17
  4. Step 4: Simplify right side
    1,345.51x = 849,748.71
  5. Step 5: Solve for x
    x = 849,748.71/1,345.51
  6. Step 6: Final answer
    x = 631.54

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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.