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Finding the Fourth Proportional to 1,036.25, 1,430.12 and 594.28

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Solution

The fourth proportional to 1,036.25, 1,430.12 and 594.28 is: 820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.25 : 1,430.12 = 594.28 : x
  2. Step 2: Convert to fraction form
    1,036.25/1,430.12 = 594.28/x
  3. Step 3: Cross multiply
    1,036.25x = 1,430.12 × 594.28
  4. Step 4: Simplify right side
    1,036.25x = 849,881.59
  5. Step 5: Solve for x
    x = 849,881.59/1,036.25
  6. Step 6: Final answer
    x = 820.16

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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.