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Finding the Fourth Proportional to 730.43, 1,009.16 and 510.35

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Solution

The fourth proportional to 730.43, 1,009.16 and 510.35 is: 705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.43 : 1,009.16 = 510.35 : x
  2. Step 2: Convert to fraction form
    730.43/1,009.16 = 510.35/x
  3. Step 3: Cross multiply
    730.43x = 1,009.16 × 510.35
  4. Step 4: Simplify right side
    730.43x = 515,024.81
  5. Step 5: Solve for x
    x = 515,024.81/730.43
  6. Step 6: Final answer
    x = 705.10

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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.